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Finding the Fourth Proportional to 7,777.24, 11,662.34 and 2,229.31

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Solution

The fourth proportional to 7,777.24, 11,662.34 and 2,229.31 is: 3,342.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,777.24 : 11,662.34 = 2,229.31 : x
  2. Step 2: Convert to fraction form
    7,777.24/11,662.34 = 2,229.31/x
  3. Step 3: Cross multiply
    7,777.24x = 11,662.34 × 2,229.31
  4. Step 4: Simplify right side
    7,777.24x = 25,998,971.19
  5. Step 5: Solve for x
    x = 25,998,971.19/7,777.24
  6. Step 6: Final answer
    x = 3,342.96

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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.