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Finding the Fourth Proportional to 27,493.74, 41,220.42 and 8,763

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Solution

The fourth proportional to 27,493.74, 41,220.42 and 8,763 is: 13,138.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,493.74 : 41,220.42 = 8,763 : x
  2. Step 2: Convert to fraction form
    27,493.74/41,220.42 = 8,763/x
  3. Step 3: Cross multiply
    27,493.74x = 41,220.42 × 8,763
  4. Step 4: Simplify right side
    27,493.74x = 361,214,540.46
  5. Step 5: Solve for x
    x = 361,214,540.46/27,493.74
  6. Step 6: Final answer
    x = 13,138.06

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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.