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Finding the Fourth Proportional to 8,222.81, 12,334.83 and 2,675.73

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Solution

The fourth proportional to 8,222.81, 12,334.83 and 2,675.73 is: 4,013.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,222.81 : 12,334.83 = 2,675.73 : x
  2. Step 2: Convert to fraction form
    8,222.81/12,334.83 = 2,675.73/x
  3. Step 3: Cross multiply
    8,222.81x = 12,334.83 × 2,675.73
  4. Step 4: Simplify right side
    8,222.81x = 33,004,674.68
  5. Step 5: Solve for x
    x = 33,004,674.68/8,222.81
  6. Step 6: Final answer
    x = 4,013.79

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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.