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Finding the Fourth Proportional to 10,082.66, 15,122.28 and 2,687.90

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Solution

The fourth proportional to 10,082.66, 15,122.28 and 2,687.90 is: 4,031.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,082.66 : 15,122.28 = 2,687.90 : x
  2. Step 2: Convert to fraction form
    10,082.66/15,122.28 = 2,687.90/x
  3. Step 3: Cross multiply
    10,082.66x = 15,122.28 × 2,687.90
  4. Step 4: Simplify right side
    10,082.66x = 40,647,176.41
  5. Step 5: Solve for x
    x = 40,647,176.41/10,082.66
  6. Step 6: Final answer
    x = 4,031.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.