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Finding the Fourth Proportional to 11,871.78, 16,382.97 and 6,567

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Solution

The fourth proportional to 11,871.78, 16,382.97 and 6,567 is: 9,062.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,871.78 : 16,382.97 = 6,567 : x
  2. Step 2: Convert to fraction form
    11,871.78/16,382.97 = 6,567/x
  3. Step 3: Cross multiply
    11,871.78x = 16,382.97 × 6,567
  4. Step 4: Simplify right side
    11,871.78x = 107,586,963.99
  5. Step 5: Solve for x
    x = 107,586,963.99/11,871.78
  6. Step 6: Final answer
    x = 9,062.41

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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.