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Finding the Fourth Proportional to 11,833.70, 17,750.52 and 3,067.88

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Solution

The fourth proportional to 11,833.70, 17,750.52 and 3,067.88 is: 4,601.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,833.70 : 17,750.52 = 3,067.88 : x
  2. Step 2: Convert to fraction form
    11,833.70/17,750.52 = 3,067.88/x
  3. Step 3: Cross multiply
    11,833.70x = 17,750.52 × 3,067.88
  4. Step 4: Simplify right side
    11,833.70x = 54,456,465.30
  5. Step 5: Solve for x
    x = 54,456,465.30/11,833.70
  6. Step 6: Final answer
    x = 4,601.81

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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.