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Finding the Fourth Proportional to 8,166.69, 12,244.97 and 3,778.52

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Solution

The fourth proportional to 8,166.69, 12,244.97 and 3,778.52 is: 5,665.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,166.69 : 12,244.97 = 3,778.52 : x
  2. Step 2: Convert to fraction form
    8,166.69/12,244.97 = 3,778.52/x
  3. Step 3: Cross multiply
    8,166.69x = 12,244.97 × 3,778.52
  4. Step 4: Simplify right side
    8,166.69x = 46,267,812.27
  5. Step 5: Solve for x
    x = 46,267,812.27/8,166.69
  6. Step 6: Final answer
    x = 5,665.43

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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.