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Finding the Fourth Proportional to 8,162.98, 12,241.73 and 3,234.33

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Solution

The fourth proportional to 8,162.98, 12,241.73 and 3,234.33 is: 4,850.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,162.98 : 12,241.73 = 3,234.33 : x
  2. Step 2: Convert to fraction form
    8,162.98/12,241.73 = 3,234.33/x
  3. Step 3: Cross multiply
    8,162.98x = 12,241.73 × 3,234.33
  4. Step 4: Simplify right side
    8,162.98x = 39,593,802.68
  5. Step 5: Solve for x
    x = 39,593,802.68/8,162.98
  6. Step 6: Final answer
    x = 4,850.41

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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.