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Finding the Fourth Proportional to 10,770.77, 16,161.32 and 5,576.65

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Solution

The fourth proportional to 10,770.77, 16,161.32 and 5,576.65 is: 8,367.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,770.77 : 16,161.32 = 5,576.65 : x
  2. Step 2: Convert to fraction form
    10,770.77/16,161.32 = 5,576.65/x
  3. Step 3: Cross multiply
    10,770.77x = 16,161.32 × 5,576.65
  4. Step 4: Simplify right side
    10,770.77x = 90,125,998.72
  5. Step 5: Solve for x
    x = 90,125,998.72/10,770.77
  6. Step 6: Final answer
    x = 8,367.64

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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.