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Finding the Fourth Proportional to 8,107.25, 12,163.91 and 2,842.65

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Solution

The fourth proportional to 8,107.25, 12,163.91 and 2,842.65 is: 4,265.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,107.25 : 12,163.91 = 2,842.65 : x
  2. Step 2: Convert to fraction form
    8,107.25/12,163.91 = 2,842.65/x
  3. Step 3: Cross multiply
    8,107.25x = 12,163.91 × 2,842.65
  4. Step 4: Simplify right side
    8,107.25x = 34,577,724.55
  5. Step 5: Solve for x
    x = 34,577,724.55/8,107.25
  6. Step 6: Final answer
    x = 4,265.04

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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.