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Finding the Fourth Proportional to 7,662.96, 11,494.44 and 2,190.96

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Solution

The fourth proportional to 7,662.96, 11,494.44 and 2,190.96 is: 3,286.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,662.96 : 11,494.44 = 2,190.96 : x
  2. Step 2: Convert to fraction form
    7,662.96/11,494.44 = 2,190.96/x
  3. Step 3: Cross multiply
    7,662.96x = 11,494.44 × 2,190.96
  4. Step 4: Simplify right side
    7,662.96x = 25,183,858.26
  5. Step 5: Solve for x
    x = 25,183,858.26/7,662.96
  6. Step 6: Final answer
    x = 3,286.44

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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.