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Finding the Fourth Proportional to 11,909.15, 16,435.38 and 6,874.30

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Solution

The fourth proportional to 11,909.15, 16,435.38 and 6,874.30 is: 9,486.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,909.15 : 16,435.38 = 6,874.30 : x
  2. Step 2: Convert to fraction form
    11,909.15/16,435.38 = 6,874.30/x
  3. Step 3: Cross multiply
    11,909.15x = 16,435.38 × 6,874.30
  4. Step 4: Simplify right side
    11,909.15x = 112,981,732.73
  5. Step 5: Solve for x
    x = 112,981,732.73/11,909.15
  6. Step 6: Final answer
    x = 9,486.97

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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.