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Finding the Fourth Proportional to 11,775.72, 16,247.22 and 7,795.56

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Solution

The fourth proportional to 11,775.72, 16,247.22 and 7,795.56 is: 10,755.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,775.72 : 16,247.22 = 7,795.56 : x
  2. Step 2: Convert to fraction form
    11,775.72/16,247.22 = 7,795.56/x
  3. Step 3: Cross multiply
    11,775.72x = 16,247.22 × 7,795.56
  4. Step 4: Simplify right side
    11,775.72x = 126,656,178.34
  5. Step 5: Solve for x
    x = 126,656,178.34/11,775.72
  6. Step 6: Final answer
    x = 10,755.71

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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.