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Finding the Fourth Proportional to 8,217.65, 12,332.42 and 3,288.66

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Solution

The fourth proportional to 8,217.65, 12,332.42 and 3,288.66 is: 4,935.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,217.65 : 12,332.42 = 3,288.66 : x
  2. Step 2: Convert to fraction form
    8,217.65/12,332.42 = 3,288.66/x
  3. Step 3: Cross multiply
    8,217.65x = 12,332.42 × 3,288.66
  4. Step 4: Simplify right side
    8,217.65x = 40,557,136.36
  5. Step 5: Solve for x
    x = 40,557,136.36/8,217.65
  6. Step 6: Final answer
    x = 4,935.37

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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.