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Finding the Fourth Proportional to 11,850.24, 17,759.96 and 4,822.08

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Solution

The fourth proportional to 11,850.24, 17,759.96 and 4,822.08 is: 7,226.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,850.24 : 17,759.96 = 4,822.08 : x
  2. Step 2: Convert to fraction form
    11,850.24/17,759.96 = 4,822.08/x
  3. Step 3: Cross multiply
    11,850.24x = 17,759.96 × 4,822.08
  4. Step 4: Simplify right side
    11,850.24x = 85,639,947.92
  5. Step 5: Solve for x
    x = 85,639,947.92/11,850.24
  6. Step 6: Final answer
    x = 7,226.85

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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.