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Finding the Fourth Proportional to 8,031.66, 11,082.66 and 4,493.97

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Solution

The fourth proportional to 8,031.66, 11,082.66 and 4,493.97 is: 6,201.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,031.66 : 11,082.66 = 4,493.97 : x
  2. Step 2: Convert to fraction form
    8,031.66/11,082.66 = 4,493.97/x
  3. Step 3: Cross multiply
    8,031.66x = 11,082.66 × 4,493.97
  4. Step 4: Simplify right side
    8,031.66x = 49,805,141.56
  5. Step 5: Solve for x
    x = 49,805,141.56/8,031.66
  6. Step 6: Final answer
    x = 6,201.10

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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.