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Finding the Fourth Proportional to 11,963.52, 17,946.75 and 4,067.33

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Solution

The fourth proportional to 11,963.52, 17,946.75 and 4,067.33 is: 6,101.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,963.52 : 17,946.75 = 4,067.33 : x
  2. Step 2: Convert to fraction form
    11,963.52/17,946.75 = 4,067.33/x
  3. Step 3: Cross multiply
    11,963.52x = 17,946.75 × 4,067.33
  4. Step 4: Simplify right side
    11,963.52x = 72,995,334.34
  5. Step 5: Solve for x
    x = 72,995,334.34/11,963.52
  6. Step 6: Final answer
    x = 6,101.49

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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.