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Finding the Fourth Proportional to 10,472.30, 15,704.31 and 4,231.13

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Solution

The fourth proportional to 10,472.30, 15,704.31 and 4,231.13 is: 6,345.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,472.30 : 15,704.31 = 4,231.13 : x
  2. Step 2: Convert to fraction form
    10,472.30/15,704.31 = 4,231.13/x
  3. Step 3: Cross multiply
    10,472.30x = 15,704.31 × 4,231.13
  4. Step 4: Simplify right side
    10,472.30x = 66,446,977.17
  5. Step 5: Solve for x
    x = 66,446,977.17/10,472.30
  6. Step 6: Final answer
    x = 6,345.03

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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.