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Finding the Fourth Proportional to 11,634.12, 16,042.68 and 8,645.04

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Solution

The fourth proportional to 11,634.12, 16,042.68 and 8,645.04 is: 11,920.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,634.12 : 16,042.68 = 8,645.04 : x
  2. Step 2: Convert to fraction form
    11,634.12/16,042.68 = 8,645.04/x
  3. Step 3: Cross multiply
    11,634.12x = 16,042.68 × 8,645.04
  4. Step 4: Simplify right side
    11,634.12x = 138,689,610.31
  5. Step 5: Solve for x
    x = 138,689,610.31/11,634.12
  6. Step 6: Final answer
    x = 11,920.94

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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.