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Finding the Fourth Proportional to 11,902.42, 16,427.64 and 6,869.90

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Solution

The fourth proportional to 11,902.42, 16,427.64 and 6,869.90 is: 9,481.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,902.42 : 16,427.64 = 6,869.90 : x
  2. Step 2: Convert to fraction form
    11,902.42/16,427.64 = 6,869.90/x
  3. Step 3: Cross multiply
    11,902.42x = 16,427.64 × 6,869.90
  4. Step 4: Simplify right side
    11,902.42x = 112,856,244.04
  5. Step 5: Solve for x
    x = 112,856,244.04/11,902.42
  6. Step 6: Final answer
    x = 9,481.79

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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.