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Finding the Fourth Proportional to 6,816.66, 10,224.98 and 2,199.66

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Solution

The fourth proportional to 6,816.66, 10,224.98 and 2,199.66 is: 3,299.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,816.66 : 10,224.98 = 2,199.66 : x
  2. Step 2: Convert to fraction form
    6,816.66/10,224.98 = 2,199.66/x
  3. Step 3: Cross multiply
    6,816.66x = 10,224.98 × 2,199.66
  4. Step 4: Simplify right side
    6,816.66x = 22,491,450.79
  5. Step 5: Solve for x
    x = 22,491,450.79/6,816.66
  6. Step 6: Final answer
    x = 3,299.48

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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.