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Finding the Fourth Proportional to 8,082.27, 12,124.58 and 2,534.58

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Solution

The fourth proportional to 8,082.27, 12,124.58 and 2,534.58 is: 3,802.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,082.27 : 12,124.58 = 2,534.58 : x
  2. Step 2: Convert to fraction form
    8,082.27/12,124.58 = 2,534.58/x
  3. Step 3: Cross multiply
    8,082.27x = 12,124.58 × 2,534.58
  4. Step 4: Simplify right side
    8,082.27x = 30,730,705.30
  5. Step 5: Solve for x
    x = 30,730,705.30/8,082.27
  6. Step 6: Final answer
    x = 3,802.24

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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.