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Finding the Fourth Proportional to 11,843.21, 17,761.11 and 3,943.88

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Solution

The fourth proportional to 11,843.21, 17,761.11 and 3,943.88 is: 5,914.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,843.21 : 17,761.11 = 3,943.88 : x
  2. Step 2: Convert to fraction form
    11,843.21/17,761.11 = 3,943.88/x
  3. Step 3: Cross multiply
    11,843.21x = 17,761.11 × 3,943.88
  4. Step 4: Simplify right side
    11,843.21x = 70,047,686.51
  5. Step 5: Solve for x
    x = 70,047,686.51/11,843.21
  6. Step 6: Final answer
    x = 5,914.59

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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.