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Finding the Fourth Proportional to 8,732.65, 13,073.24 and 5,765.65

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Solution

The fourth proportional to 8,732.65, 13,073.24 and 5,765.65 is: 8,631.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,732.65 : 13,073.24 = 5,765.65 : x
  2. Step 2: Convert to fraction form
    8,732.65/13,073.24 = 5,765.65/x
  3. Step 3: Cross multiply
    8,732.65x = 13,073.24 × 5,765.65
  4. Step 4: Simplify right side
    8,732.65x = 75,375,697.38
  5. Step 5: Solve for x
    x = 75,375,697.38/8,732.65
  6. Step 6: Final answer
    x = 8,631.48

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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.