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Finding the Fourth Proportional to 8,255.75, 12,383.63 and 2,412.41

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Solution

The fourth proportional to 8,255.75, 12,383.63 and 2,412.41 is: 3,618.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,255.75 : 12,383.63 = 2,412.41 : x
  2. Step 2: Convert to fraction form
    8,255.75/12,383.63 = 2,412.41/x
  3. Step 3: Cross multiply
    8,255.75x = 12,383.63 × 2,412.41
  4. Step 4: Simplify right side
    8,255.75x = 29,874,392.85
  5. Step 5: Solve for x
    x = 29,874,392.85/8,255.75
  6. Step 6: Final answer
    x = 3,618.62

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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.