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Finding the Fourth Proportional to 11,786.08, 17,682 and 3,994.96

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Solution

The fourth proportional to 11,786.08, 17,682 and 3,994.96 is: 5,993.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,786.08 : 17,682 = 3,994.96 : x
  2. Step 2: Convert to fraction form
    11,786.08/17,682 = 3,994.96/x
  3. Step 3: Cross multiply
    11,786.08x = 17,682 × 3,994.96
  4. Step 4: Simplify right side
    11,786.08x = 70,638,882.72
  5. Step 5: Solve for x
    x = 70,638,882.72/11,786.08
  6. Step 6: Final answer
    x = 5,993.42

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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.