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Finding the Fourth Proportional to 7,996.32, 11,983.92 and 3,837.60

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Solution

The fourth proportional to 7,996.32, 11,983.92 and 3,837.60 is: 5,751.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,996.32 : 11,983.92 = 3,837.60 : x
  2. Step 2: Convert to fraction form
    7,996.32/11,983.92 = 3,837.60/x
  3. Step 3: Cross multiply
    7,996.32x = 11,983.92 × 3,837.60
  4. Step 4: Simplify right side
    7,996.32x = 45,989,491.39
  5. Step 5: Solve for x
    x = 45,989,491.39/7,996.32
  6. Step 6: Final answer
    x = 5,751.33

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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.