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Finding the Fourth Proportional to 6,067.52, 9,112.80 and 5,192

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Solution

The fourth proportional to 6,067.52, 9,112.80 and 5,192 is: 7,797.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,067.52 : 9,112.80 = 5,192 : x
  2. Step 2: Convert to fraction form
    6,067.52/9,112.80 = 5,192/x
  3. Step 3: Cross multiply
    6,067.52x = 9,112.80 × 5,192
  4. Step 4: Simplify right side
    6,067.52x = 47,313,657.60
  5. Step 5: Solve for x
    x = 47,313,657.60/6,067.52
  6. Step 6: Final answer
    x = 7,797.86

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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.