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Finding the Fourth Proportional to 6,778.45, 10,168.68 and 2,098.88

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Solution

The fourth proportional to 6,778.45, 10,168.68 and 2,098.88 is: 3,148.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,778.45 : 10,168.68 = 2,098.88 : x
  2. Step 2: Convert to fraction form
    6,778.45/10,168.68 = 2,098.88/x
  3. Step 3: Cross multiply
    6,778.45x = 10,168.68 × 2,098.88
  4. Step 4: Simplify right side
    6,778.45x = 21,342,788.24
  5. Step 5: Solve for x
    x = 21,342,788.24/6,778.45
  6. Step 6: Final answer
    x = 3,148.63

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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.