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Finding the Fourth Proportional to 7,996.56, 11,995.35 and 3,825.06

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Solution

The fourth proportional to 7,996.56, 11,995.35 and 3,825.06 is: 5,737.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,996.56 : 11,995.35 = 3,825.06 : x
  2. Step 2: Convert to fraction form
    7,996.56/11,995.35 = 3,825.06/x
  3. Step 3: Cross multiply
    7,996.56x = 11,995.35 × 3,825.06
  4. Step 4: Simplify right side
    7,996.56x = 45,882,933.47
  5. Step 5: Solve for x
    x = 45,882,933.47/7,996.56
  6. Step 6: Final answer
    x = 5,737.83

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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.