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Finding the Fourth Proportional to 8,221.79, 12,334.53 and 2,378.85

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Solution

The fourth proportional to 8,221.79, 12,334.53 and 2,378.85 is: 3,568.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,221.79 : 12,334.53 = 2,378.85 : x
  2. Step 2: Convert to fraction form
    8,221.79/12,334.53 = 2,378.85/x
  3. Step 3: Cross multiply
    8,221.79x = 12,334.53 × 2,378.85
  4. Step 4: Simplify right side
    8,221.79x = 29,341,996.69
  5. Step 5: Solve for x
    x = 29,341,996.69/8,221.79
  6. Step 6: Final answer
    x = 3,568.81

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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.