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Finding the Fourth Proportional to 8,082.68, 12,125.40 and 2,534.96

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Solution

The fourth proportional to 8,082.68, 12,125.40 and 2,534.96 is: 3,802.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,082.68 : 12,125.40 = 2,534.96 : x
  2. Step 2: Convert to fraction form
    8,082.68/12,125.40 = 2,534.96/x
  3. Step 3: Cross multiply
    8,082.68x = 12,125.40 × 2,534.96
  4. Step 4: Simplify right side
    8,082.68x = 30,737,403.98
  5. Step 5: Solve for x
    x = 30,737,403.98/8,082.68
  6. Step 6: Final answer
    x = 3,802.87

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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.