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Finding the Fourth Proportional to 8,002.26, 11,996.12 and 2,805.30

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Solution

The fourth proportional to 8,002.26, 11,996.12 and 2,805.30 is: 4,205.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,002.26 : 11,996.12 = 2,805.30 : x
  2. Step 2: Convert to fraction form
    8,002.26/11,996.12 = 2,805.30/x
  3. Step 3: Cross multiply
    8,002.26x = 11,996.12 × 2,805.30
  4. Step 4: Simplify right side
    8,002.26x = 33,652,715.44
  5. Step 5: Solve for x
    x = 33,652,715.44/8,002.26
  6. Step 6: Final answer
    x = 4,205.40

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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.