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Finding the Fourth Proportional to 8,163.50, 12,246.12 and 2,614.86

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Solution

The fourth proportional to 8,163.50, 12,246.12 and 2,614.86 is: 3,922.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,163.50 : 12,246.12 = 2,614.86 : x
  2. Step 2: Convert to fraction form
    8,163.50/12,246.12 = 2,614.86/x
  3. Step 3: Cross multiply
    8,163.50x = 12,246.12 × 2,614.86
  4. Step 4: Simplify right side
    8,163.50x = 32,021,889.34
  5. Step 5: Solve for x
    x = 32,021,889.34/8,163.50
  6. Step 6: Final answer
    x = 3,922.57

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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.