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Finding the Fourth Proportional to 10,287.71, 15,419.87 and 4,046.56

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Solution

The fourth proportional to 10,287.71, 15,419.87 and 4,046.56 is: 6,065.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,287.71 : 15,419.87 = 4,046.56 : x
  2. Step 2: Convert to fraction form
    10,287.71/15,419.87 = 4,046.56/x
  3. Step 3: Cross multiply
    10,287.71x = 15,419.87 × 4,046.56
  4. Step 4: Simplify right side
    10,287.71x = 62,397,385.54
  5. Step 5: Solve for x
    x = 62,397,385.54/10,287.71
  6. Step 6: Final answer
    x = 6,065.24

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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.