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Finding the Fourth Proportional to 8,472.06, 12,711.72 and 4,092.78

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Solution

The fourth proportional to 8,472.06, 12,711.72 and 4,092.78 is: 6,140.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,472.06 : 12,711.72 = 4,092.78 : x
  2. Step 2: Convert to fraction form
    8,472.06/12,711.72 = 4,092.78/x
  3. Step 3: Cross multiply
    8,472.06x = 12,711.72 × 4,092.78
  4. Step 4: Simplify right side
    8,472.06x = 52,026,273.38
  5. Step 5: Solve for x
    x = 52,026,273.38/8,472.06
  6. Step 6: Final answer
    x = 6,140.92

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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.