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Finding the Fourth Proportional to 11,794.80, 17,694 and 4,400.30

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Solution

The fourth proportional to 11,794.80, 17,694 and 4,400.30 is: 6,601.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,794.80 : 17,694 = 4,400.30 : x
  2. Step 2: Convert to fraction form
    11,794.80/17,694 = 4,400.30/x
  3. Step 3: Cross multiply
    11,794.80x = 17,694 × 4,400.30
  4. Step 4: Simplify right side
    11,794.80x = 77,858,908.20
  5. Step 5: Solve for x
    x = 77,858,908.20/11,794.80
  6. Step 6: Final answer
    x = 6,601.12

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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.