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Finding the Fourth Proportional to 8,220.85, 12,331.67 and 4,007.97

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Solution

The fourth proportional to 8,220.85, 12,331.67 and 4,007.97 is: 6,012.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,220.85 : 12,331.67 = 4,007.97 : x
  2. Step 2: Convert to fraction form
    8,220.85/12,331.67 = 4,007.97/x
  3. Step 3: Cross multiply
    8,220.85x = 12,331.67 × 4,007.97
  4. Step 4: Simplify right side
    8,220.85x = 49,424,963.41
  5. Step 5: Solve for x
    x = 49,424,963.41/8,220.85
  6. Step 6: Final answer
    x = 6,012.15

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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.