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Finding the Fourth Proportional to 11,704.88, 16,161.19 and 7,234.76

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Solution

The fourth proportional to 11,704.88, 16,161.19 and 7,234.76 is: 9,989.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,704.88 : 16,161.19 = 7,234.76 : x
  2. Step 2: Convert to fraction form
    11,704.88/16,161.19 = 7,234.76/x
  3. Step 3: Cross multiply
    11,704.88x = 16,161.19 × 7,234.76
  4. Step 4: Simplify right side
    11,704.88x = 116,922,250.16
  5. Step 5: Solve for x
    x = 116,922,250.16/11,704.88
  6. Step 6: Final answer
    x = 9,989.19

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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.