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Finding the Fourth Proportional to 8,286.12, 12,431.64 and 3,021

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Solution

The fourth proportional to 8,286.12, 12,431.64 and 3,021 is: 4,532.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,286.12 : 12,431.64 = 3,021 : x
  2. Step 2: Convert to fraction form
    8,286.12/12,431.64 = 3,021/x
  3. Step 3: Cross multiply
    8,286.12x = 12,431.64 × 3,021
  4. Step 4: Simplify right side
    8,286.12x = 37,555,984.44
  5. Step 5: Solve for x
    x = 37,555,984.44/8,286.12
  6. Step 6: Final answer
    x = 4,532.40

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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.