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Finding the Fourth Proportional to 10,773.68, 16,162.44 and 3,846.56

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Solution

The fourth proportional to 10,773.68, 16,162.44 and 3,846.56 is: 5,770.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,773.68 : 16,162.44 = 3,846.56 : x
  2. Step 2: Convert to fraction form
    10,773.68/16,162.44 = 3,846.56/x
  3. Step 3: Cross multiply
    10,773.68x = 16,162.44 × 3,846.56
  4. Step 4: Simplify right side
    10,773.68x = 62,169,795.21
  5. Step 5: Solve for x
    x = 62,169,795.21/10,773.68
  6. Step 6: Final answer
    x = 5,770.53

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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.