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Finding the Fourth Proportional to 7,778.34, 11,671.97 and 2,847.33

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Solution

The fourth proportional to 7,778.34, 11,671.97 and 2,847.33 is: 4,272.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,778.34 : 11,671.97 = 2,847.33 : x
  2. Step 2: Convert to fraction form
    7,778.34/11,671.97 = 2,847.33/x
  3. Step 3: Cross multiply
    7,778.34x = 11,671.97 × 2,847.33
  4. Step 4: Simplify right side
    7,778.34x = 33,233,936.10
  5. Step 5: Solve for x
    x = 33,233,936.10/7,778.34
  6. Step 6: Final answer
    x = 4,272.63

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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.