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Finding the Fourth Proportional to 10,082.01, 15,123.75 and 2,686.44

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Solution

The fourth proportional to 10,082.01, 15,123.75 and 2,686.44 is: 4,029.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,082.01 : 15,123.75 = 2,686.44 : x
  2. Step 2: Convert to fraction form
    10,082.01/15,123.75 = 2,686.44/x
  3. Step 3: Cross multiply
    10,082.01x = 15,123.75 × 2,686.44
  4. Step 4: Simplify right side
    10,082.01x = 40,629,046.95
  5. Step 5: Solve for x
    x = 40,629,046.95/10,082.01
  6. Step 6: Final answer
    x = 4,029.86

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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.