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Finding the Fourth Proportional to 26,843.37, 40,265 and 6,852.85

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Solution

The fourth proportional to 26,843.37, 40,265 and 6,852.85 is: 10,279.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,843.37 : 40,265 = 6,852.85 : x
  2. Step 2: Convert to fraction form
    26,843.37/40,265 = 6,852.85/x
  3. Step 3: Cross multiply
    26,843.37x = 40,265 × 6,852.85
  4. Step 4: Simplify right side
    26,843.37x = 275,930,005.25
  5. Step 5: Solve for x
    x = 275,930,005.25/26,843.37
  6. Step 6: Final answer
    x = 10,279.26

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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.