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Finding the Fourth Proportional to 8,197.72, 12,295.82 and 3,266.04

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Solution

The fourth proportional to 8,197.72, 12,295.82 and 3,266.04 is: 4,898.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,197.72 : 12,295.82 = 3,266.04 : x
  2. Step 2: Convert to fraction form
    8,197.72/12,295.82 = 3,266.04/x
  3. Step 3: Cross multiply
    8,197.72x = 12,295.82 × 3,266.04
  4. Step 4: Simplify right side
    8,197.72x = 40,158,639.95
  5. Step 5: Solve for x
    x = 40,158,639.95/8,197.72
  6. Step 6: Final answer
    x = 4,898.76

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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.