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Finding the Fourth Proportional to 10,301.59, 15,438.86 and 5,861.29

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Solution

The fourth proportional to 10,301.59, 15,438.86 and 5,861.29 is: 8,784.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,301.59 : 15,438.86 = 5,861.29 : x
  2. Step 2: Convert to fraction form
    10,301.59/15,438.86 = 5,861.29/x
  3. Step 3: Cross multiply
    10,301.59x = 15,438.86 × 5,861.29
  4. Step 4: Simplify right side
    10,301.59x = 90,491,635.73
  5. Step 5: Solve for x
    x = 90,491,635.73/10,301.59
  6. Step 6: Final answer
    x = 8,784.24

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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.