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Finding the Fourth Proportional to 8,198.88, 12,296.68 and 3,201.28

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Solution

The fourth proportional to 8,198.88, 12,296.68 and 3,201.28 is: 4,801.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,198.88 : 12,296.68 = 3,201.28 : x
  2. Step 2: Convert to fraction form
    8,198.88/12,296.68 = 3,201.28/x
  3. Step 3: Cross multiply
    8,198.88x = 12,296.68 × 3,201.28
  4. Step 4: Simplify right side
    8,198.88x = 39,365,115.75
  5. Step 5: Solve for x
    x = 39,365,115.75/8,198.88
  6. Step 6: Final answer
    x = 4,801.28

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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.