The table displayed below represents the ratio of the count of clients enrolled in service packages for Cloud Migration to that of those registered for Database Administration across four distinct operational intervals (A, B, C, and D) at a consulting firm.
Examine the details provided in the table to address the subsequent query.
Note: Each registered client is signed up for either Cloud Migration or Database Administration, but not both.

Time slots	Ratio of employees registered for Eye checkup to Dental checkup
A	5:4
B	7:3
C	11:4
D	1:5

Assuming the total number of clients enrolled in interval C is 50% greater than the number enrolled in interval B, and given that the combined number of clients registered for Database Administration in both intervals equals 84, calculate the number of clients signed up for Cloud Migration in interval C.

The correct answer is 132.

Step 1: Understand the given ratios for each interval.
From the details provided, the table gives the ratio of clients enrolled in Cloud Migration to Database Administration across intervals A, B, C, and D.
- For Interval B, the ratio is 7 : 3. The total ratio parts = 7 + 3 = 10.
- For Interval C, the ratio is 11 : 4. The total ratio parts = 11 + 4 = 15.

Step 2: Express the total number of clients in interval C in terms of interval B.
Let the total number of clients enrolled in interval B be $T_B$.
Since the total number of clients in interval C is 50% greater than in interval B:
$T_C=1.5\times T_B=\frac{3}{2}{T}_B$

Step 3: Calculate the Database Administration clients for both intervals.
In Interval B:
$\text{Database Administration clients in B}=\frac{3}{10}{T}_B$
In Interval C:
$\text{Database Administration clients in C}=\frac{4}{15}{T}_C=\frac{4}{15}\times \left(\frac{3}{2}{T}_B\right)=\frac{4}{10}{T}_B$

Step 4: Use the total combined Database Administration clients to solve for $T_B$.
We are given that the combined number of Database Administration clients in intervals B and C equals 84:
$\frac{3}{10}{T}_B+\frac{4}{10}{T}_B=84$
$\frac{7}{10}{T}_B=84$
$T_B=\frac{84\times 10}{7}=120$

Step 5: Calculate the number of Cloud Migration clients in interval C.
First, find the total number of clients in interval C:
$T_C=1.5\times 120=180$
Now, find the number of clients signed up for Cloud Migration in interval C using its ratio fraction ($\frac{11}{15}$):
$\text{Cloud Migration clients in C}=\frac{11}{15}\times 180=11\times 12=132$

Therefore, the number of clients signed up for Cloud Migration in interval C is 132.