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Finding the Fourth Proportional to 8,112.44, 12,163.99 and 3,176.30

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Solution

The fourth proportional to 8,112.44, 12,163.99 and 3,176.30 is: 4,762.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,112.44 : 12,163.99 = 3,176.30 : x
  2. Step 2: Convert to fraction form
    8,112.44/12,163.99 = 3,176.30/x
  3. Step 3: Cross multiply
    8,112.44x = 12,163.99 × 3,176.30
  4. Step 4: Simplify right side
    8,112.44x = 38,636,481.44
  5. Step 5: Solve for x
    x = 38,636,481.44/8,112.44
  6. Step 6: Final answer
    x = 4,762.62

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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.