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Finding the Fourth Proportional to 7,213.56, 10,824 and 3,318.84

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Solution

The fourth proportional to 7,213.56, 10,824 and 3,318.84 is: 4,979.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,213.56 : 10,824 = 3,318.84 : x
  2. Step 2: Convert to fraction form
    7,213.56/10,824 = 3,318.84/x
  3. Step 3: Cross multiply
    7,213.56x = 10,824 × 3,318.84
  4. Step 4: Simplify right side
    7,213.56x = 35,923,124.16
  5. Step 5: Solve for x
    x = 35,923,124.16/7,213.56
  6. Step 6: Final answer
    x = 4,979.94

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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.