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Finding the Fourth Proportional to 11,787.76, 17,694.52 and 8,042.32

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Solution

The fourth proportional to 11,787.76, 17,694.52 and 8,042.32 is: 12,072.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,787.76 : 17,694.52 = 8,042.32 : x
  2. Step 2: Convert to fraction form
    11,787.76/17,694.52 = 8,042.32/x
  3. Step 3: Cross multiply
    11,787.76x = 17,694.52 × 8,042.32
  4. Step 4: Simplify right side
    11,787.76x = 142,304,992.09
  5. Step 5: Solve for x
    x = 142,304,992.09/11,787.76
  6. Step 6: Final answer
    x = 12,072.27

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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.