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Finding the Fourth Proportional to 7,982.69, 11,976.03 and 3,052.71

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Solution

The fourth proportional to 7,982.69, 11,976.03 and 3,052.71 is: 4,579.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,982.69 : 11,976.03 = 3,052.71 : x
  2. Step 2: Convert to fraction form
    7,982.69/11,976.03 = 3,052.71/x
  3. Step 3: Cross multiply
    7,982.69x = 11,976.03 × 3,052.71
  4. Step 4: Simplify right side
    7,982.69x = 36,559,346.54
  5. Step 5: Solve for x
    x = 36,559,346.54/7,982.69
  6. Step 6: Final answer
    x = 4,579.83

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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.