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Finding the Fourth Proportional to 11,874.06, 17,811.09 and 5,217.12

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Solution

The fourth proportional to 11,874.06, 17,811.09 and 5,217.12 is: 7,825.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,874.06 : 17,811.09 = 5,217.12 : x
  2. Step 2: Convert to fraction form
    11,874.06/17,811.09 = 5,217.12/x
  3. Step 3: Cross multiply
    11,874.06x = 17,811.09 × 5,217.12
  4. Step 4: Simplify right side
    11,874.06x = 92,922,593.86
  5. Step 5: Solve for x
    x = 92,922,593.86/11,874.06
  6. Step 6: Final answer
    x = 7,825.68

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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.