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Finding the Fourth Proportional to 8,319.92, 12,469.50 and 4,161.12

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Solution

The fourth proportional to 8,319.92, 12,469.50 and 4,161.12 is: 6,236.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,319.92 : 12,469.50 = 4,161.12 : x
  2. Step 2: Convert to fraction form
    8,319.92/12,469.50 = 4,161.12/x
  3. Step 3: Cross multiply
    8,319.92x = 12,469.50 × 4,161.12
  4. Step 4: Simplify right side
    8,319.92x = 51,887,085.84
  5. Step 5: Solve for x
    x = 51,887,085.84/8,319.92
  6. Step 6: Final answer
    x = 6,236.49

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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.