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Finding the Fourth Proportional to 7,832.88, 11,747.16 and 3,392.04

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Solution

The fourth proportional to 7,832.88, 11,747.16 and 3,392.04 is: 5,087.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,832.88 : 11,747.16 = 3,392.04 : x
  2. Step 2: Convert to fraction form
    7,832.88/11,747.16 = 3,392.04/x
  3. Step 3: Cross multiply
    7,832.88x = 11,747.16 × 3,392.04
  4. Step 4: Simplify right side
    7,832.88x = 39,846,836.61
  5. Step 5: Solve for x
    x = 39,846,836.61/7,832.88
  6. Step 6: Final answer
    x = 5,087.12

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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.