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Finding the Fourth Proportional to 8,198.40, 12,294.96 and 2,650.56

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Solution

The fourth proportional to 8,198.40, 12,294.96 and 2,650.56 is: 3,974.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,198.40 : 12,294.96 = 2,650.56 : x
  2. Step 2: Convert to fraction form
    8,198.40/12,294.96 = 2,650.56/x
  3. Step 3: Cross multiply
    8,198.40x = 12,294.96 × 2,650.56
  4. Step 4: Simplify right side
    8,198.40x = 32,588,529.18
  5. Step 5: Solve for x
    x = 32,588,529.18/8,198.40
  6. Step 6: Final answer
    x = 3,974.99

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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.