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Finding the Fourth Proportional to 10,358.50, 15,538.12 and 3,432.82

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Solution

The fourth proportional to 10,358.50, 15,538.12 and 3,432.82 is: 5,149.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,358.50 : 15,538.12 = 3,432.82 : x
  2. Step 2: Convert to fraction form
    10,358.50/15,538.12 = 3,432.82/x
  3. Step 3: Cross multiply
    10,358.50x = 15,538.12 × 3,432.82
  4. Step 4: Simplify right side
    10,358.50x = 53,339,569.10
  5. Step 5: Solve for x
    x = 53,339,569.10/10,358.50
  6. Step 6: Final answer
    x = 5,149.35

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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.