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Finding the Fourth Proportional to 8,116.45, 12,169.98 and 3,180.31

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Solution

The fourth proportional to 8,116.45, 12,169.98 and 3,180.31 is: 4,768.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,116.45 : 12,169.98 = 3,180.31 : x
  2. Step 2: Convert to fraction form
    8,116.45/12,169.98 = 3,180.31/x
  3. Step 3: Cross multiply
    8,116.45x = 12,169.98 × 3,180.31
  4. Step 4: Simplify right side
    8,116.45x = 38,704,309.09
  5. Step 5: Solve for x
    x = 38,704,309.09/8,116.45
  6. Step 6: Final answer
    x = 4,768.63

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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.