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Finding the Fourth Proportional to 10,489.32, 15,734.50 and 3,469.96

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Solution

The fourth proportional to 10,489.32, 15,734.50 and 3,469.96 is: 5,205.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,489.32 : 15,734.50 = 3,469.96 : x
  2. Step 2: Convert to fraction form
    10,489.32/15,734.50 = 3,469.96/x
  3. Step 3: Cross multiply
    10,489.32x = 15,734.50 × 3,469.96
  4. Step 4: Simplify right side
    10,489.32x = 54,598,085.62
  5. Step 5: Solve for x
    x = 54,598,085.62/10,489.32
  6. Step 6: Final answer
    x = 5,205.11

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