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Finding the Fourth Proportional to 10,469.56, 15,704.12 and 4,229.44

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Solution

The fourth proportional to 10,469.56, 15,704.12 and 4,229.44 is: 6,344.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,469.56 : 15,704.12 = 4,229.44 : x
  2. Step 2: Convert to fraction form
    10,469.56/15,704.12 = 4,229.44/x
  3. Step 3: Cross multiply
    10,469.56x = 15,704.12 × 4,229.44
  4. Step 4: Simplify right side
    10,469.56x = 66,419,633.29
  5. Step 5: Solve for x
    x = 66,419,633.29/10,469.56
  6. Step 6: Final answer
    x = 6,344.07

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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.