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Finding the Fourth Proportional to 12,103.39, 16,701.78 and 6,799.09

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Solution

The fourth proportional to 12,103.39, 16,701.78 and 6,799.09 is: 9,382.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,103.39 : 16,701.78 = 6,799.09 : x
  2. Step 2: Convert to fraction form
    12,103.39/16,701.78 = 6,799.09/x
  3. Step 3: Cross multiply
    12,103.39x = 16,701.78 × 6,799.09
  4. Step 4: Simplify right side
    12,103.39x = 113,556,905.38
  5. Step 5: Solve for x
    x = 113,556,905.38/12,103.39
  6. Step 6: Final answer
    x = 9,382.24

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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.