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Finding the Fourth Proportional to 11,777.44, 16,235.74 and 8,229.64

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Solution

The fourth proportional to 11,777.44, 16,235.74 and 8,229.64 is: 11,344.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,777.44 : 16,235.74 = 8,229.64 : x
  2. Step 2: Convert to fraction form
    11,777.44/16,235.74 = 8,229.64/x
  3. Step 3: Cross multiply
    11,777.44x = 16,235.74 × 8,229.64
  4. Step 4: Simplify right side
    11,777.44x = 133,614,295.33
  5. Step 5: Solve for x
    x = 133,614,295.33/11,777.44
  6. Step 6: Final answer
    x = 11,344.94

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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.