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Finding the Fourth Proportional to 27,132.28, 40,691.86 and 7,410.94

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Solution

The fourth proportional to 27,132.28, 40,691.86 and 7,410.94 is: 11,114.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,132.28 : 40,691.86 = 7,410.94 : x
  2. Step 2: Convert to fraction form
    27,132.28/40,691.86 = 7,410.94/x
  3. Step 3: Cross multiply
    27,132.28x = 40,691.86 × 7,410.94
  4. Step 4: Simplify right side
    27,132.28x = 301,564,932.95
  5. Step 5: Solve for x
    x = 301,564,932.95/27,132.28
  6. Step 6: Final answer
    x = 11,114.62

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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.