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Finding the Fourth Proportional to 8,512.38, 11,747.31 and 5,155.80

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Solution

The fourth proportional to 8,512.38, 11,747.31 and 5,155.80 is: 7,115.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,512.38 : 11,747.31 = 5,155.80 : x
  2. Step 2: Convert to fraction form
    8,512.38/11,747.31 = 5,155.80/x
  3. Step 3: Cross multiply
    8,512.38x = 11,747.31 × 5,155.80
  4. Step 4: Simplify right side
    8,512.38x = 60,566,780.90
  5. Step 5: Solve for x
    x = 60,566,780.90/8,512.38
  6. Step 6: Final answer
    x = 7,115.14

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Why These Related Problems?

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