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Finding the Fourth Proportional to 11,843.39, 17,761.23 and 3,943.78

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Solution

The fourth proportional to 11,843.39, 17,761.23 and 3,943.78 is: 5,914.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,843.39 : 17,761.23 = 3,943.78 : x
  2. Step 2: Convert to fraction form
    11,843.39/17,761.23 = 3,943.78/x
  3. Step 3: Cross multiply
    11,843.39x = 17,761.23 × 3,943.78
  4. Step 4: Simplify right side
    11,843.39x = 70,046,393.51
  5. Step 5: Solve for x
    x = 70,046,393.51/11,843.39
  6. Step 6: Final answer
    x = 5,914.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.