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Finding the Fourth Proportional to 8,441.34, 12,659.85 and 3,994.62

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Solution

The fourth proportional to 8,441.34, 12,659.85 and 3,994.62 is: 5,990.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,441.34 : 12,659.85 = 3,994.62 : x
  2. Step 2: Convert to fraction form
    8,441.34/12,659.85 = 3,994.62/x
  3. Step 3: Cross multiply
    8,441.34x = 12,659.85 × 3,994.62
  4. Step 4: Simplify right side
    8,441.34x = 50,571,290.01
  5. Step 5: Solve for x
    x = 50,571,290.01/8,441.34
  6. Step 6: Final answer
    x = 5,990.91

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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.