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Finding the Fourth Proportional to 8,227.17, 12,337.92 and 2,382.21

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Solution

The fourth proportional to 8,227.17, 12,337.92 and 2,382.21 is: 3,572.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,227.17 : 12,337.92 = 2,382.21 : x
  2. Step 2: Convert to fraction form
    8,227.17/12,337.92 = 2,382.21/x
  3. Step 3: Cross multiply
    8,227.17x = 12,337.92 × 2,382.21
  4. Step 4: Simplify right side
    8,227.17x = 29,391,516.40
  5. Step 5: Solve for x
    x = 29,391,516.40/8,227.17
  6. Step 6: Final answer
    x = 3,572.49

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Why These Related Problems?

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