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Finding the Fourth Proportional to 7,731.27, 10,671.12 and 5,082.30

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Solution

The fourth proportional to 7,731.27, 10,671.12 and 5,082.30 is: 7,014.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,731.27 : 10,671.12 = 5,082.30 : x
  2. Step 2: Convert to fraction form
    7,731.27/10,671.12 = 5,082.30/x
  3. Step 3: Cross multiply
    7,731.27x = 10,671.12 × 5,082.30
  4. Step 4: Simplify right side
    7,731.27x = 54,233,833.18
  5. Step 5: Solve for x
    x = 54,233,833.18/7,731.27
  6. Step 6: Final answer
    x = 7,014.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.