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Finding the Fourth Proportional to 8,474.31, 12,702.51 and 4,082.49

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Solution

The fourth proportional to 8,474.31, 12,702.51 and 4,082.49 is: 6,119.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,474.31 : 12,702.51 = 4,082.49 : x
  2. Step 2: Convert to fraction form
    8,474.31/12,702.51 = 4,082.49/x
  3. Step 3: Cross multiply
    8,474.31x = 12,702.51 × 4,082.49
  4. Step 4: Simplify right side
    8,474.31x = 51,857,870.05
  5. Step 5: Solve for x
    x = 51,857,870.05/8,474.31
  6. Step 6: Final answer
    x = 6,119.42

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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.