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Finding the Fourth Proportional to 11,643.75, 16,067.97 and 6,608.39

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Solution

The fourth proportional to 11,643.75, 16,067.97 and 6,608.39 is: 9,119.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,643.75 : 16,067.97 = 6,608.39 : x
  2. Step 2: Convert to fraction form
    11,643.75/16,067.97 = 6,608.39/x
  3. Step 3: Cross multiply
    11,643.75x = 16,067.97 × 6,608.39
  4. Step 4: Simplify right side
    11,643.75x = 106,183,331.93
  5. Step 5: Solve for x
    x = 106,183,331.93/11,643.75
  6. Step 6: Final answer
    x = 9,119.34

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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.