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Finding the Fourth Proportional to 7,161.94, 10,747.16 and 3,874.96

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Solution

The fourth proportional to 7,161.94, 10,747.16 and 3,874.96 is: 5,814.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,161.94 : 10,747.16 = 3,874.96 : x
  2. Step 2: Convert to fraction form
    7,161.94/10,747.16 = 3,874.96/x
  3. Step 3: Cross multiply
    7,161.94x = 10,747.16 × 3,874.96
  4. Step 4: Simplify right side
    7,161.94x = 41,644,742.00
  5. Step 5: Solve for x
    x = 41,644,742.00/7,161.94
  6. Step 6: Final answer
    x = 5,814.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.