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Finding the Fourth Proportional to 7,729.92, 11,593.60 and 2,535.04

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Solution

The fourth proportional to 7,729.92, 11,593.60 and 2,535.04 is: 3,802.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,729.92 : 11,593.60 = 2,535.04 : x
  2. Step 2: Convert to fraction form
    7,729.92/11,593.60 = 2,535.04/x
  3. Step 3: Cross multiply
    7,729.92x = 11,593.60 × 2,535.04
  4. Step 4: Simplify right side
    7,729.92x = 29,390,239.74
  5. Step 5: Solve for x
    x = 29,390,239.74/7,729.92
  6. Step 6: Final answer
    x = 3,802.14

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