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Finding the Fourth Proportional to 8,159.70, 12,233.82 and 3,940.38

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Solution

The fourth proportional to 8,159.70, 12,233.82 and 3,940.38 is: 5,907.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,159.70 : 12,233.82 = 3,940.38 : x
  2. Step 2: Convert to fraction form
    8,159.70/12,233.82 = 3,940.38/x
  3. Step 3: Cross multiply
    8,159.70x = 12,233.82 × 3,940.38
  4. Step 4: Simplify right side
    8,159.70x = 48,205,899.65
  5. Step 5: Solve for x
    x = 48,205,899.65/8,159.70
  6. Step 6: Final answer
    x = 5,907.80

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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.