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Finding the Fourth Proportional to 8,198.57, 12,303.82 and 3,269.62

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Solution

The fourth proportional to 8,198.57, 12,303.82 and 3,269.62 is: 4,906.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,198.57 : 12,303.82 = 3,269.62 : x
  2. Step 2: Convert to fraction form
    8,198.57/12,303.82 = 3,269.62/x
  3. Step 3: Cross multiply
    8,198.57x = 12,303.82 × 3,269.62
  4. Step 4: Simplify right side
    8,198.57x = 40,228,775.40
  5. Step 5: Solve for x
    x = 40,228,775.40/8,198.57
  6. Step 6: Final answer
    x = 4,906.81

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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.