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Finding the Fourth Proportional to 6,778.94, 10,168.83 and 3,081.47

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Solution

The fourth proportional to 6,778.94, 10,168.83 and 3,081.47 is: 4,622.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,778.94 : 10,168.83 = 3,081.47 : x
  2. Step 2: Convert to fraction form
    6,778.94/10,168.83 = 3,081.47/x
  3. Step 3: Cross multiply
    6,778.94x = 10,168.83 × 3,081.47
  4. Step 4: Simplify right side
    6,778.94x = 31,334,893.74
  5. Step 5: Solve for x
    x = 31,334,893.74/6,778.94
  6. Step 6: Final answer
    x = 4,622.39

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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.