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Finding the Fourth Proportional to 10,325, 15,487.50 and 5,708

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Solution

The fourth proportional to 10,325, 15,487.50 and 5,708 is: 8,562

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,325 : 15,487.50 = 5,708 : x
  2. Step 2: Convert to fraction form
    10,325/15,487.50 = 5,708/x
  3. Step 3: Cross multiply
    10,325x = 15,487.50 × 5,708
  4. Step 4: Simplify right side
    10,325x = 88,402,650
  5. Step 5: Solve for x
    x = 88,402,650/10,325
  6. Step 6: Final answer
    x = 8,562

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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.