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Finding the Fourth Proportional to 11,676.26, 16,112.83 and 6,640.39

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Solution

The fourth proportional to 11,676.26, 16,112.83 and 6,640.39 is: 9,163.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,676.26 : 16,112.83 = 6,640.39 : x
  2. Step 2: Convert to fraction form
    11,676.26/16,112.83 = 6,640.39/x
  3. Step 3: Cross multiply
    11,676.26x = 16,112.83 × 6,640.39
  4. Step 4: Simplify right side
    11,676.26x = 106,995,361.44
  5. Step 5: Solve for x
    x = 106,995,361.44/11,676.26
  6. Step 6: Final answer
    x = 9,163.50

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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.