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Finding the Fourth Proportional to 11,863, 17,791.80 and 4,468.24

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Solution

The fourth proportional to 11,863, 17,791.80 and 4,468.24 is: 6,701.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,863 : 17,791.80 = 4,468.24 : x
  2. Step 2: Convert to fraction form
    11,863/17,791.80 = 4,468.24/x
  3. Step 3: Cross multiply
    11,863x = 17,791.80 × 4,468.24
  4. Step 4: Simplify right side
    11,863x = 79,498,032.43
  5. Step 5: Solve for x
    x = 79,498,032.43/11,863
  6. Step 6: Final answer
    x = 6,701.34

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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.