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Finding the Fourth Proportional to 8,003.12, 11,995.68 and 3,837.38

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Solution

The fourth proportional to 8,003.12, 11,995.68 and 3,837.38 is: 5,751.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,003.12 : 11,995.68 = 3,837.38 : x
  2. Step 2: Convert to fraction form
    8,003.12/11,995.68 = 3,837.38/x
  3. Step 3: Cross multiply
    8,003.12x = 11,995.68 × 3,837.38
  4. Step 4: Simplify right side
    8,003.12x = 46,031,982.52
  5. Step 5: Solve for x
    x = 46,031,982.52/8,003.12
  6. Step 6: Final answer
    x = 5,751.75

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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.