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Finding the Fourth Proportional to 7,980.96, 11,976.91 and 2,786.84

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Solution

The fourth proportional to 7,980.96, 11,976.91 and 2,786.84 is: 4,182.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,980.96 : 11,976.91 = 2,786.84 : x
  2. Step 2: Convert to fraction form
    7,980.96/11,976.91 = 2,786.84/x
  3. Step 3: Cross multiply
    7,980.96x = 11,976.91 × 2,786.84
  4. Step 4: Simplify right side
    7,980.96x = 33,377,731.86
  5. Step 5: Solve for x
    x = 33,377,731.86/7,980.96
  6. Step 6: Final answer
    x = 4,182.17

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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.