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Finding the Fourth Proportional to 8,144.76, 12,218.76 and 3,464.76

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Solution

The fourth proportional to 8,144.76, 12,218.76 and 3,464.76 is: 5,197.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,144.76 : 12,218.76 = 3,464.76 : x
  2. Step 2: Convert to fraction form
    8,144.76/12,218.76 = 3,464.76/x
  3. Step 3: Cross multiply
    8,144.76x = 12,218.76 × 3,464.76
  4. Step 4: Simplify right side
    8,144.76x = 42,335,070.90
  5. Step 5: Solve for x
    x = 42,335,070.90/8,144.76
  6. Step 6: Final answer
    x = 5,197.83

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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.