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Finding the Fourth Proportional to 10,229.59, 15,349.17 and 5,296.54

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Solution

The fourth proportional to 10,229.59, 15,349.17 and 5,296.54 is: 7,947.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,229.59 : 15,349.17 = 5,296.54 : x
  2. Step 2: Convert to fraction form
    10,229.59/15,349.17 = 5,296.54/x
  3. Step 3: Cross multiply
    10,229.59x = 15,349.17 × 5,296.54
  4. Step 4: Simplify right side
    10,229.59x = 81,297,488.24
  5. Step 5: Solve for x
    x = 81,297,488.24/10,229.59
  6. Step 6: Final answer
    x = 7,947.29

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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.