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Finding the Fourth Proportional to 11,067, 15,272.68 and 6,031.20

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Solution

The fourth proportional to 11,067, 15,272.68 and 6,031.20 is: 8,323.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,067 : 15,272.68 = 6,031.20 : x
  2. Step 2: Convert to fraction form
    11,067/15,272.68 = 6,031.20/x
  3. Step 3: Cross multiply
    11,067x = 15,272.68 × 6,031.20
  4. Step 4: Simplify right side
    11,067x = 92,112,587.62
  5. Step 5: Solve for x
    x = 92,112,587.62/11,067
  6. Step 6: Final answer
    x = 8,323.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.