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Finding the Fourth Proportional to 8,198.12, 12,294.64 and 2,650.44

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Solution

The fourth proportional to 8,198.12, 12,294.64 and 2,650.44 is: 3,974.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,198.12 : 12,294.64 = 2,650.44 : x
  2. Step 2: Convert to fraction form
    8,198.12/12,294.64 = 2,650.44/x
  3. Step 3: Cross multiply
    8,198.12x = 12,294.64 × 2,650.44
  4. Step 4: Simplify right side
    8,198.12x = 32,586,205.64
  5. Step 5: Solve for x
    x = 32,586,205.64/8,198.12
  6. Step 6: Final answer
    x = 3,974.84

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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.