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Finding the Fourth Proportional to 8,286.05, 12,412.28 and 3,837.44

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Solution

The fourth proportional to 8,286.05, 12,412.28 and 3,837.44 is: 5,748.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,286.05 : 12,412.28 = 3,837.44 : x
  2. Step 2: Convert to fraction form
    8,286.05/12,412.28 = 3,837.44/x
  3. Step 3: Cross multiply
    8,286.05x = 12,412.28 × 3,837.44
  4. Step 4: Simplify right side
    8,286.05x = 47,631,327.30
  5. Step 5: Solve for x
    x = 47,631,327.30/8,286.05
  6. Step 6: Final answer
    x = 5,748.38

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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.