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Finding the Fourth Proportional to 8,677.28, 11,963.46 and 7,082.29

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Solution

The fourth proportional to 8,677.28, 11,963.46 and 7,082.29 is: 9,764.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,677.28 : 11,963.46 = 7,082.29 : x
  2. Step 2: Convert to fraction form
    8,677.28/11,963.46 = 7,082.29/x
  3. Step 3: Cross multiply
    8,677.28x = 11,963.46 × 7,082.29
  4. Step 4: Simplify right side
    8,677.28x = 84,728,693.12
  5. Step 5: Solve for x
    x = 84,728,693.12/8,677.28
  6. Step 6: Final answer
    x = 9,764.43

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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.