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Finding the Fourth Proportional to 8,135.43, 12,197.67 and 3,202.53

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Solution

The fourth proportional to 8,135.43, 12,197.67 and 3,202.53 is: 4,801.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,135.43 : 12,197.67 = 3,202.53 : x
  2. Step 2: Convert to fraction form
    8,135.43/12,197.67 = 3,202.53/x
  3. Step 3: Cross multiply
    8,135.43x = 12,197.67 × 3,202.53
  4. Step 4: Simplify right side
    8,135.43x = 39,063,404.11
  5. Step 5: Solve for x
    x = 39,063,404.11/8,135.43
  6. Step 6: Final answer
    x = 4,801.64

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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.