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Finding the Fourth Proportional to 11,640.31, 16,082.42 and 8,119.24

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Solution

The fourth proportional to 11,640.31, 16,082.42 and 8,119.24 is: 11,217.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,640.31 : 16,082.42 = 8,119.24 : x
  2. Step 2: Convert to fraction form
    11,640.31/16,082.42 = 8,119.24/x
  3. Step 3: Cross multiply
    11,640.31x = 16,082.42 × 8,119.24
  4. Step 4: Simplify right side
    11,640.31x = 130,577,027.76
  5. Step 5: Solve for x
    x = 130,577,027.76/11,640.31
  6. Step 6: Final answer
    x = 11,217.66

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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.