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Finding the Fourth Proportional to 11,876.36, 16,388.19 and 6,571.04

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Solution

The fourth proportional to 11,876.36, 16,388.19 and 6,571.04 is: 9,067.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,876.36 : 16,388.19 = 6,571.04 : x
  2. Step 2: Convert to fraction form
    11,876.36/16,388.19 = 6,571.04/x
  3. Step 3: Cross multiply
    11,876.36x = 16,388.19 × 6,571.04
  4. Step 4: Simplify right side
    11,876.36x = 107,687,370.08
  5. Step 5: Solve for x
    x = 107,687,370.08/11,876.36
  6. Step 6: Final answer
    x = 9,067.38

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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.