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Finding the Fourth Proportional to 7,980.67, 11,976.48 and 2,786.55

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Solution

The fourth proportional to 7,980.67, 11,976.48 and 2,786.55 is: 4,181.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,980.67 : 11,976.48 = 2,786.55 : x
  2. Step 2: Convert to fraction form
    7,980.67/11,976.48 = 2,786.55/x
  3. Step 3: Cross multiply
    7,980.67x = 11,976.48 × 2,786.55
  4. Step 4: Simplify right side
    7,980.67x = 33,373,060.34
  5. Step 5: Solve for x
    x = 33,373,060.34/7,980.67
  6. Step 6: Final answer
    x = 4,181.74

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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.