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Finding the Fourth Proportional to 8,441.75, 12,653.98 and 3,514.25

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Solution

The fourth proportional to 8,441.75, 12,653.98 and 3,514.25 is: 5,267.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,441.75 : 12,653.98 = 3,514.25 : x
  2. Step 2: Convert to fraction form
    8,441.75/12,653.98 = 3,514.25/x
  3. Step 3: Cross multiply
    8,441.75x = 12,653.98 × 3,514.25
  4. Step 4: Simplify right side
    8,441.75x = 44,469,249.22
  5. Step 5: Solve for x
    x = 44,469,249.22/8,441.75
  6. Step 6: Final answer
    x = 5,267.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.