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Finding the Fourth Proportional to 8,265.43, 11,412.19 and 5,082.97

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Solution

The fourth proportional to 8,265.43, 11,412.19 and 5,082.97 is: 7,018.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,265.43 : 11,412.19 = 5,082.97 : x
  2. Step 2: Convert to fraction form
    8,265.43/11,412.19 = 5,082.97/x
  3. Step 3: Cross multiply
    8,265.43x = 11,412.19 × 5,082.97
  4. Step 4: Simplify right side
    8,265.43x = 58,007,819.40
  5. Step 5: Solve for x
    x = 58,007,819.40/8,265.43
  6. Step 6: Final answer
    x = 7,018.12

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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.