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Finding the Fourth Proportional to 10,057.68, 15,081.40 and 5,439.44

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Solution

The fourth proportional to 10,057.68, 15,081.40 and 5,439.44 is: 8,156.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,057.68 : 15,081.40 = 5,439.44 : x
  2. Step 2: Convert to fraction form
    10,057.68/15,081.40 = 5,439.44/x
  3. Step 3: Cross multiply
    10,057.68x = 15,081.40 × 5,439.44
  4. Step 4: Simplify right side
    10,057.68x = 82,034,370.42
  5. Step 5: Solve for x
    x = 82,034,370.42/10,057.68
  6. Step 6: Final answer
    x = 8,156.39

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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.