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Finding the Fourth Proportional to 8,378.97, 12,568.86 and 2,832.18

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Solution

The fourth proportional to 8,378.97, 12,568.86 and 2,832.18 is: 4,248.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,378.97 : 12,568.86 = 2,832.18 : x
  2. Step 2: Convert to fraction form
    8,378.97/12,568.86 = 2,832.18/x
  3. Step 3: Cross multiply
    8,378.97x = 12,568.86 × 2,832.18
  4. Step 4: Simplify right side
    8,378.97x = 35,597,273.91
  5. Step 5: Solve for x
    x = 35,597,273.91/8,378.97
  6. Step 6: Final answer
    x = 4,248.41

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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.