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Finding the Fourth Proportional to 8,439.95, 11,650.24 and 5,082.91

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Solution

The fourth proportional to 8,439.95, 11,650.24 and 5,082.91 is: 7,016.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,439.95 : 11,650.24 = 5,082.91 : x
  2. Step 2: Convert to fraction form
    8,439.95/11,650.24 = 5,082.91/x
  3. Step 3: Cross multiply
    8,439.95x = 11,650.24 × 5,082.91
  4. Step 4: Simplify right side
    8,439.95x = 59,217,098.63
  5. Step 5: Solve for x
    x = 59,217,098.63/8,439.95
  6. Step 6: Final answer
    x = 7,016.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.