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Finding the Fourth Proportional to 11,672.39, 16,107.42 and 6,893.88

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Solution

The fourth proportional to 11,672.39, 16,107.42 and 6,893.88 is: 9,513.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,672.39 : 16,107.42 = 6,893.88 : x
  2. Step 2: Convert to fraction form
    11,672.39/16,107.42 = 6,893.88/x
  3. Step 3: Cross multiply
    11,672.39x = 16,107.42 × 6,893.88
  4. Step 4: Simplify right side
    11,672.39x = 111,042,594.87
  5. Step 5: Solve for x
    x = 111,042,594.87/11,672.39
  6. Step 6: Final answer
    x = 9,513.27

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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.