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Finding the Fourth Proportional to 11,905.67, 16,429.28 and 6,600.38

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Solution

The fourth proportional to 11,905.67, 16,429.28 and 6,600.38 is: 9,108.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,905.67 : 16,429.28 = 6,600.38 : x
  2. Step 2: Convert to fraction form
    11,905.67/16,429.28 = 6,600.38/x
  3. Step 3: Cross multiply
    11,905.67x = 16,429.28 × 6,600.38
  4. Step 4: Simplify right side
    11,905.67x = 108,439,375.98
  5. Step 5: Solve for x
    x = 108,439,375.98/11,905.67
  6. Step 6: Final answer
    x = 9,108.22

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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.