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Finding the Fourth Proportional to 13,092.41, 18,067.38 and 7,787.32

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Solution

The fourth proportional to 13,092.41, 18,067.38 and 7,787.32 is: 10,746.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,092.41 : 18,067.38 = 7,787.32 : x
  2. Step 2: Convert to fraction form
    13,092.41/18,067.38 = 7,787.32/x
  3. Step 3: Cross multiply
    13,092.41x = 18,067.38 × 7,787.32
  4. Step 4: Simplify right side
    13,092.41x = 140,696,469.62
  5. Step 5: Solve for x
    x = 140,696,469.62/13,092.41
  6. Step 6: Final answer
    x = 10,746.41

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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.