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Finding the Fourth Proportional to 8,213.36, 12,322.20 and 3,828.56

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Solution

The fourth proportional to 8,213.36, 12,322.20 and 3,828.56 is: 5,743.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,213.36 : 12,322.20 = 3,828.56 : x
  2. Step 2: Convert to fraction form
    8,213.36/12,322.20 = 3,828.56/x
  3. Step 3: Cross multiply
    8,213.36x = 12,322.20 × 3,828.56
  4. Step 4: Simplify right side
    8,213.36x = 47,176,282.03
  5. Step 5: Solve for x
    x = 47,176,282.03/8,213.36
  6. Step 6: Final answer
    x = 5,743.85

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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.