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Finding the Fourth Proportional to 10,132.92, 15,179.22 and 7,931.34

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Solution

The fourth proportional to 10,132.92, 15,179.22 and 7,931.34 is: 11,881.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,132.92 : 15,179.22 = 7,931.34 : x
  2. Step 2: Convert to fraction form
    10,132.92/15,179.22 = 7,931.34/x
  3. Step 3: Cross multiply
    10,132.92x = 15,179.22 × 7,931.34
  4. Step 4: Simplify right side
    10,132.92x = 120,391,554.75
  5. Step 5: Solve for x
    x = 120,391,554.75/10,132.92
  6. Step 6: Final answer
    x = 11,881.23

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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.