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Finding the Fourth Proportional to 11,850.74, 17,760.68 and 4,822.56

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Solution

The fourth proportional to 11,850.74, 17,760.68 and 4,822.56 is: 7,227.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,850.74 : 17,760.68 = 4,822.56 : x
  2. Step 2: Convert to fraction form
    11,850.74/17,760.68 = 4,822.56/x
  3. Step 3: Cross multiply
    11,850.74x = 17,760.68 × 4,822.56
  4. Step 4: Simplify right side
    11,850.74x = 85,651,944.94
  5. Step 5: Solve for x
    x = 85,651,944.94/11,850.74
  6. Step 6: Final answer
    x = 7,227.56

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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.