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Finding the Fourth Proportional to 7,716.89, 11,593.80 and 4,948.99

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Solution

The fourth proportional to 7,716.89, 11,593.80 and 4,948.99 is: 7,435.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,716.89 : 11,593.80 = 4,948.99 : x
  2. Step 2: Convert to fraction form
    7,716.89/11,593.80 = 4,948.99/x
  3. Step 3: Cross multiply
    7,716.89x = 11,593.80 × 4,948.99
  4. Step 4: Simplify right side
    7,716.89x = 57,377,571.28
  5. Step 5: Solve for x
    x = 57,377,571.28/7,716.89
  6. Step 6: Final answer
    x = 7,435.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.