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Finding the Fourth Proportional to 11,843.80, 17,755.24 and 4,829.68

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Solution

The fourth proportional to 11,843.80, 17,755.24 and 4,829.68 is: 7,240.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,843.80 : 17,755.24 = 4,829.68 : x
  2. Step 2: Convert to fraction form
    11,843.80/17,755.24 = 4,829.68/x
  3. Step 3: Cross multiply
    11,843.80x = 17,755.24 × 4,829.68
  4. Step 4: Simplify right side
    11,843.80x = 85,752,014.60
  5. Step 5: Solve for x
    x = 85,752,014.60/11,843.80
  6. Step 6: Final answer
    x = 7,240.25

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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.