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Finding the Fourth Proportional to 11,877.66, 16,389.96 and 6,571.08

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Solution

The fourth proportional to 11,877.66, 16,389.96 and 6,571.08 is: 9,067.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,877.66 : 16,389.96 = 6,571.08 : x
  2. Step 2: Convert to fraction form
    11,877.66/16,389.96 = 6,571.08/x
  3. Step 3: Cross multiply
    11,877.66x = 16,389.96 × 6,571.08
  4. Step 4: Simplify right side
    11,877.66x = 107,699,738.36
  5. Step 5: Solve for x
    x = 107,699,738.36/11,877.66
  6. Step 6: Final answer
    x = 9,067.42

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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.