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Finding the Fourth Proportional to 8,082.71, 11,150.96 and 5,963.34

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Solution

The fourth proportional to 8,082.71, 11,150.96 and 5,963.34 is: 8,227.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,082.71 : 11,150.96 = 5,963.34 : x
  2. Step 2: Convert to fraction form
    8,082.71/11,150.96 = 5,963.34/x
  3. Step 3: Cross multiply
    8,082.71x = 11,150.96 × 5,963.34
  4. Step 4: Simplify right side
    8,082.71x = 66,496,965.81
  5. Step 5: Solve for x
    x = 66,496,965.81/8,082.71
  6. Step 6: Final answer
    x = 8,227.06

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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.