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Finding the Fourth Proportional to 8,182.57, 12,273.88 and 3,252.18

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Solution

The fourth proportional to 8,182.57, 12,273.88 and 3,252.18 is: 4,878.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,182.57 : 12,273.88 = 3,252.18 : x
  2. Step 2: Convert to fraction form
    8,182.57/12,273.88 = 3,252.18/x
  3. Step 3: Cross multiply
    8,182.57x = 12,273.88 × 3,252.18
  4. Step 4: Simplify right side
    8,182.57x = 39,916,807.49
  5. Step 5: Solve for x
    x = 39,916,807.49/8,182.57
  6. Step 6: Final answer
    x = 4,878.27

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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.