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Finding the Fourth Proportional to 8,220.50, 11,344.57 and 4,494.74

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Solution

The fourth proportional to 8,220.50, 11,344.57 and 4,494.74 is: 6,202.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,220.50 : 11,344.57 = 4,494.74 : x
  2. Step 2: Convert to fraction form
    8,220.50/11,344.57 = 4,494.74/x
  3. Step 3: Cross multiply
    8,220.50x = 11,344.57 × 4,494.74
  4. Step 4: Simplify right side
    8,220.50x = 50,990,892.56
  5. Step 5: Solve for x
    x = 50,990,892.56/8,220.50
  6. Step 6: Final answer
    x = 6,202.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.