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Finding the Fourth Proportional to 8,382.20, 12,571.23 and 2,835.42

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Solution

The fourth proportional to 8,382.20, 12,571.23 and 2,835.42 is: 4,252.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,382.20 : 12,571.23 = 2,835.42 : x
  2. Step 2: Convert to fraction form
    8,382.20/12,571.23 = 2,835.42/x
  3. Step 3: Cross multiply
    8,382.20x = 12,571.23 × 2,835.42
  4. Step 4: Simplify right side
    8,382.20x = 35,644,716.97
  5. Step 5: Solve for x
    x = 35,644,716.97/8,382.20
  6. Step 6: Final answer
    x = 4,252.43

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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.