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Finding the Fourth Proportional to 10,793.44, 16,178.82 and 4,945.24

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Solution

The fourth proportional to 10,793.44, 16,178.82 and 4,945.24 is: 7,412.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,793.44 : 16,178.82 = 4,945.24 : x
  2. Step 2: Convert to fraction form
    10,793.44/16,178.82 = 4,945.24/x
  3. Step 3: Cross multiply
    10,793.44x = 16,178.82 × 4,945.24
  4. Step 4: Simplify right side
    10,793.44x = 80,008,147.82
  5. Step 5: Solve for x
    x = 80,008,147.82/10,793.44
  6. Step 6: Final answer
    x = 7,412.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.