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Finding the Fourth Proportional to 8,020.69, 12,033.47 and 3,636.97

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Solution

The fourth proportional to 8,020.69, 12,033.47 and 3,636.97 is: 5,456.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,020.69 : 12,033.47 = 3,636.97 : x
  2. Step 2: Convert to fraction form
    8,020.69/12,033.47 = 3,636.97/x
  3. Step 3: Cross multiply
    8,020.69x = 12,033.47 × 3,636.97
  4. Step 4: Simplify right side
    8,020.69x = 43,765,351.20
  5. Step 5: Solve for x
    x = 43,765,351.20/8,020.69
  6. Step 6: Final answer
    x = 5,456.56

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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.