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Finding the Fourth Proportional to 6,761.43, 10,139.65 and 2,812.48

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Solution

The fourth proportional to 6,761.43, 10,139.65 and 2,812.48 is: 4,217.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,761.43 : 10,139.65 = 2,812.48 : x
  2. Step 2: Convert to fraction form
    6,761.43/10,139.65 = 2,812.48/x
  3. Step 3: Cross multiply
    6,761.43x = 10,139.65 × 2,812.48
  4. Step 4: Simplify right side
    6,761.43x = 28,517,530.45
  5. Step 5: Solve for x
    x = 28,517,530.45/6,761.43
  6. Step 6: Final answer
    x = 4,217.68

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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.