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Finding the Fourth Proportional to 11,755.02, 16,231.74 and 7,793.82

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Solution

The fourth proportional to 11,755.02, 16,231.74 and 7,793.82 is: 10,761.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,755.02 : 16,231.74 = 7,793.82 : x
  2. Step 2: Convert to fraction form
    11,755.02/16,231.74 = 7,793.82/x
  3. Step 3: Cross multiply
    11,755.02x = 16,231.74 × 7,793.82
  4. Step 4: Simplify right side
    11,755.02x = 126,507,259.85
  5. Step 5: Solve for x
    x = 126,507,259.85/11,755.02
  6. Step 6: Final answer
    x = 10,761.98

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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.