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Finding the Fourth Proportional to 7,984.58, 11,976.86 and 3,823.61

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Solution

The fourth proportional to 7,984.58, 11,976.86 and 3,823.61 is: 5,735.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,984.58 : 11,976.86 = 3,823.61 : x
  2. Step 2: Convert to fraction form
    7,984.58/11,976.86 = 3,823.61/x
  3. Step 3: Cross multiply
    7,984.58x = 11,976.86 × 3,823.61
  4. Step 4: Simplify right side
    7,984.58x = 45,794,791.34
  5. Step 5: Solve for x
    x = 45,794,791.34/7,984.58
  6. Step 6: Final answer
    x = 5,735.41

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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.