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Finding the Fourth Proportional to 10,340.71, 14,280.29 and 8,839.92

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Solution

The fourth proportional to 10,340.71, 14,280.29 and 8,839.92 is: 12,207.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,340.71 : 14,280.29 = 8,839.92 : x
  2. Step 2: Convert to fraction form
    10,340.71/14,280.29 = 8,839.92/x
  3. Step 3: Cross multiply
    10,340.71x = 14,280.29 × 8,839.92
  4. Step 4: Simplify right side
    10,340.71x = 126,236,621.18
  5. Step 5: Solve for x
    x = 126,236,621.18/10,340.71
  6. Step 6: Final answer
    x = 12,207.73

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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.