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Finding the Fourth Proportional to 12,540.72, 17,306.39 and 7,505.15

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Solution

The fourth proportional to 12,540.72, 17,306.39 and 7,505.15 is: 10,357.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,540.72 : 17,306.39 = 7,505.15 : x
  2. Step 2: Convert to fraction form
    12,540.72/17,306.39 = 7,505.15/x
  3. Step 3: Cross multiply
    12,540.72x = 17,306.39 × 7,505.15
  4. Step 4: Simplify right side
    12,540.72x = 129,887,052.91
  5. Step 5: Solve for x
    x = 129,887,052.91/12,540.72
  6. Step 6: Final answer
    x = 10,357.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.