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Finding the Fourth Proportional to 8,127.76, 12,189.84 and 2,284.24

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Solution

The fourth proportional to 8,127.76, 12,189.84 and 2,284.24 is: 3,425.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,127.76 : 12,189.84 = 2,284.24 : x
  2. Step 2: Convert to fraction form
    8,127.76/12,189.84 = 2,284.24/x
  3. Step 3: Cross multiply
    8,127.76x = 12,189.84 × 2,284.24
  4. Step 4: Simplify right side
    8,127.76x = 27,844,520.12
  5. Step 5: Solve for x
    x = 27,844,520.12/8,127.76
  6. Step 6: Final answer
    x = 3,425.85

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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.