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Finding the Fourth Proportional to 6,127.71, 8,456.13 and 3,402.15

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Solution

The fourth proportional to 6,127.71, 8,456.13 and 3,402.15 is: 4,694.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,127.71 : 8,456.13 = 3,402.15 : x
  2. Step 2: Convert to fraction form
    6,127.71/8,456.13 = 3,402.15/x
  3. Step 3: Cross multiply
    6,127.71x = 8,456.13 × 3,402.15
  4. Step 4: Simplify right side
    6,127.71x = 28,769,022.68
  5. Step 5: Solve for x
    x = 28,769,022.68/6,127.71
  6. Step 6: Final answer
    x = 4,694.91

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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.