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Finding the Fourth Proportional to 11,704.56, 16,124.64 and 8,161.44

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Solution

The fourth proportional to 11,704.56, 16,124.64 and 8,161.44 is: 11,243.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,704.56 : 16,124.64 = 8,161.44 : x
  2. Step 2: Convert to fraction form
    11,704.56/16,124.64 = 8,161.44/x
  3. Step 3: Cross multiply
    11,704.56x = 16,124.64 × 8,161.44
  4. Step 4: Simplify right side
    11,704.56x = 131,600,281.88
  5. Step 5: Solve for x
    x = 131,600,281.88/11,704.56
  6. Step 6: Final answer
    x = 11,243.51

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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.