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Finding the Fourth Proportional to 8,120.90, 12,179.96 and 2,276.16

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Solution

The fourth proportional to 8,120.90, 12,179.96 and 2,276.16 is: 3,413.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,120.90 : 12,179.96 = 2,276.16 : x
  2. Step 2: Convert to fraction form
    8,120.90/12,179.96 = 2,276.16/x
  3. Step 3: Cross multiply
    8,120.90x = 12,179.96 × 2,276.16
  4. Step 4: Simplify right side
    8,120.90x = 27,723,537.75
  5. Step 5: Solve for x
    x = 27,723,537.75/8,120.90
  6. Step 6: Final answer
    x = 3,413.85

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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.