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Finding the Fourth Proportional to 11,714.58, 17,571.96 and 3,924

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Solution

The fourth proportional to 11,714.58, 17,571.96 and 3,924 is: 5,886.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,714.58 : 17,571.96 = 3,924 : x
  2. Step 2: Convert to fraction form
    11,714.58/17,571.96 = 3,924/x
  3. Step 3: Cross multiply
    11,714.58x = 17,571.96 × 3,924
  4. Step 4: Simplify right side
    11,714.58x = 68,952,371.04
  5. Step 5: Solve for x
    x = 68,952,371.04/11,714.58
  6. Step 6: Final answer
    x = 5,886.03

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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.