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Finding the Fourth Proportional to 8,198.60, 12,295.16 and 2,650.46

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Solution

The fourth proportional to 8,198.60, 12,295.16 and 2,650.46 is: 3,974.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,198.60 : 12,295.16 = 2,650.46 : x
  2. Step 2: Convert to fraction form
    8,198.60/12,295.16 = 2,650.46/x
  3. Step 3: Cross multiply
    8,198.60x = 12,295.16 × 2,650.46
  4. Step 4: Simplify right side
    8,198.60x = 32,587,764.98
  5. Step 5: Solve for x
    x = 32,587,764.98/8,198.60
  6. Step 6: Final answer
    x = 3,974.80

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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.