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Finding the Fourth Proportional to 8,439.64, 11,645.70 and 5,082.40

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Solution

The fourth proportional to 8,439.64, 11,645.70 and 5,082.40 is: 7,013.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,439.64 : 11,645.70 = 5,082.40 : x
  2. Step 2: Convert to fraction form
    8,439.64/11,645.70 = 5,082.40/x
  3. Step 3: Cross multiply
    8,439.64x = 11,645.70 × 5,082.40
  4. Step 4: Simplify right side
    8,439.64x = 59,188,105.68
  5. Step 5: Solve for x
    x = 59,188,105.68/8,439.64
  6. Step 6: Final answer
    x = 7,013.11

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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.