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Finding the Fourth Proportional to 8,694.70, 11,994.96 and 5,863.90

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Solution

The fourth proportional to 8,694.70, 11,994.96 and 5,863.90 is: 8,089.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,694.70 : 11,994.96 = 5,863.90 : x
  2. Step 2: Convert to fraction form
    8,694.70/11,994.96 = 5,863.90/x
  3. Step 3: Cross multiply
    8,694.70x = 11,994.96 × 5,863.90
  4. Step 4: Simplify right side
    8,694.70x = 70,337,245.94
  5. Step 5: Solve for x
    x = 70,337,245.94/8,694.70
  6. Step 6: Final answer
    x = 8,089.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.