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Finding the Fourth Proportional to 8,512.38, 12,772.49 and 3,833.64

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Solution

The fourth proportional to 8,512.38, 12,772.49 and 3,833.64 is: 5,752.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,512.38 : 12,772.49 = 3,833.64 : x
  2. Step 2: Convert to fraction form
    8,512.38/12,772.49 = 3,833.64/x
  3. Step 3: Cross multiply
    8,512.38x = 12,772.49 × 3,833.64
  4. Step 4: Simplify right side
    8,512.38x = 48,965,109.40
  5. Step 5: Solve for x
    x = 48,965,109.40/8,512.38
  6. Step 6: Final answer
    x = 5,752.22

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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.