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Finding the Fourth Proportional to 11,077.80, 16,576.20 and 8,161.80

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Solution

The fourth proportional to 11,077.80, 16,576.20 and 8,161.80 is: 12,212.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,077.80 : 16,576.20 = 8,161.80 : x
  2. Step 2: Convert to fraction form
    11,077.80/16,576.20 = 8,161.80/x
  3. Step 3: Cross multiply
    11,077.80x = 16,576.20 × 8,161.80
  4. Step 4: Simplify right side
    11,077.80x = 135,291,629.16
  5. Step 5: Solve for x
    x = 135,291,629.16/11,077.80
  6. Step 6: Final answer
    x = 12,212.86

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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.