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Finding the Fourth Proportional to 10,514.87, 15,772.31 and 3,589.43

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Solution

The fourth proportional to 10,514.87, 15,772.31 and 3,589.43 is: 5,384.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,514.87 : 15,772.31 = 3,589.43 : x
  2. Step 2: Convert to fraction form
    10,514.87/15,772.31 = 3,589.43/x
  3. Step 3: Cross multiply
    10,514.87x = 15,772.31 × 3,589.43
  4. Step 4: Simplify right side
    10,514.87x = 56,613,584.74
  5. Step 5: Solve for x
    x = 56,613,584.74/10,514.87
  6. Step 6: Final answer
    x = 5,384.15

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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.