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Finding the Fourth Proportional to 12,593.14, 17,377.46 and 7,288.28

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Solution

The fourth proportional to 12,593.14, 17,377.46 and 7,288.28 is: 10,057.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,593.14 : 17,377.46 = 7,288.28 : x
  2. Step 2: Convert to fraction form
    12,593.14/17,377.46 = 7,288.28/x
  3. Step 3: Cross multiply
    12,593.14x = 17,377.46 × 7,288.28
  4. Step 4: Simplify right side
    12,593.14x = 126,651,757.73
  5. Step 5: Solve for x
    x = 126,651,757.73/12,593.14
  6. Step 6: Final answer
    x = 10,057.21

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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.