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Finding the Fourth Proportional to 11,103, 15,322.42 and 6,067.16

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Solution

The fourth proportional to 11,103, 15,322.42 and 6,067.16 is: 8,372.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,103 : 15,322.42 = 6,067.16 : x
  2. Step 2: Convert to fraction form
    11,103/15,322.42 = 6,067.16/x
  3. Step 3: Cross multiply
    11,103x = 15,322.42 × 6,067.16
  4. Step 4: Simplify right side
    11,103x = 92,963,573.73
  5. Step 5: Solve for x
    x = 92,963,573.73/11,103
  6. Step 6: Final answer
    x = 8,372.83

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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.