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Finding the Fourth Proportional to 7,980.78, 11,976.63 and 2,786.64

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Solution

The fourth proportional to 7,980.78, 11,976.63 and 2,786.64 is: 4,181.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,980.78 : 11,976.63 = 2,786.64 : x
  2. Step 2: Convert to fraction form
    7,980.78/11,976.63 = 2,786.64/x
  3. Step 3: Cross multiply
    7,980.78x = 11,976.63 × 2,786.64
  4. Step 4: Simplify right side
    7,980.78x = 33,374,556.22
  5. Step 5: Solve for x
    x = 33,374,556.22/7,980.78
  6. Step 6: Final answer
    x = 4,181.87

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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.