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Finding the Fourth Proportional to 8,168.85, 12,253.74 and 2,325

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Solution

The fourth proportional to 8,168.85, 12,253.74 and 2,325 is: 3,487.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,168.85 : 12,253.74 = 2,325 : x
  2. Step 2: Convert to fraction form
    8,168.85/12,253.74 = 2,325/x
  3. Step 3: Cross multiply
    8,168.85x = 12,253.74 × 2,325
  4. Step 4: Simplify right side
    8,168.85x = 28,489,945.50
  5. Step 5: Solve for x
    x = 28,489,945.50/8,168.85
  6. Step 6: Final answer
    x = 3,487.63

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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.