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Finding the Fourth Proportional to 8,129.67, 12,198.15 and 3,197.67

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Solution

The fourth proportional to 8,129.67, 12,198.15 and 3,197.67 is: 4,797.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,129.67 : 12,198.15 = 3,197.67 : x
  2. Step 2: Convert to fraction form
    8,129.67/12,198.15 = 3,197.67/x
  3. Step 3: Cross multiply
    8,129.67x = 12,198.15 × 3,197.67
  4. Step 4: Simplify right side
    8,129.67x = 39,005,658.31
  5. Step 5: Solve for x
    x = 39,005,658.31/8,129.67
  6. Step 6: Final answer
    x = 4,797.94

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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.