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Finding the Fourth Proportional to 8,711.92, 12,020.76 and 5,176.24

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Solution

The fourth proportional to 8,711.92, 12,020.76 and 5,176.24 is: 7,142.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,711.92 : 12,020.76 = 5,176.24 : x
  2. Step 2: Convert to fraction form
    8,711.92/12,020.76 = 5,176.24/x
  3. Step 3: Cross multiply
    8,711.92x = 12,020.76 × 5,176.24
  4. Step 4: Simplify right side
    8,711.92x = 62,222,338.74
  5. Step 5: Solve for x
    x = 62,222,338.74/8,711.92
  6. Step 6: Final answer
    x = 7,142.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.