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Finding the Fourth Proportional to 10,314.38, 15,469.61 and 2,917.06

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Solution

The fourth proportional to 10,314.38, 15,469.61 and 2,917.06 is: 4,375.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,314.38 : 15,469.61 = 2,917.06 : x
  2. Step 2: Convert to fraction form
    10,314.38/15,469.61 = 2,917.06/x
  3. Step 3: Cross multiply
    10,314.38x = 15,469.61 × 2,917.06
  4. Step 4: Simplify right side
    10,314.38x = 45,125,780.55
  5. Step 5: Solve for x
    x = 45,125,780.55/10,314.38
  6. Step 6: Final answer
    x = 4,375.04

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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.