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Finding the Fourth Proportional to 11,761.72, 16,222.62 and 7,786.24

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Solution

The fourth proportional to 11,761.72, 16,222.62 and 7,786.24 is: 10,739.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,761.72 : 16,222.62 = 7,786.24 : x
  2. Step 2: Convert to fraction form
    11,761.72/16,222.62 = 7,786.24/x
  3. Step 3: Cross multiply
    11,761.72x = 16,222.62 × 7,786.24
  4. Step 4: Simplify right side
    11,761.72x = 126,313,212.75
  5. Step 5: Solve for x
    x = 126,313,212.75/11,761.72
  6. Step 6: Final answer
    x = 10,739.35

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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.