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Finding the Fourth Proportional to 8,197.64, 12,295.92 and 3,199.09

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Solution

The fourth proportional to 8,197.64, 12,295.92 and 3,199.09 is: 4,798.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,197.64 : 12,295.92 = 3,199.09 : x
  2. Step 2: Convert to fraction form
    8,197.64/12,295.92 = 3,199.09/x
  3. Step 3: Cross multiply
    8,197.64x = 12,295.92 × 3,199.09
  4. Step 4: Simplify right side
    8,197.64x = 39,335,687.57
  5. Step 5: Solve for x
    x = 39,335,687.57/8,197.64
  6. Step 6: Final answer
    x = 4,798.42

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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.