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Finding the Fourth Proportional to 6,778.30, 10,166.84 and 2,395.54

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Solution

The fourth proportional to 6,778.30, 10,166.84 and 2,395.54 is: 3,593.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,778.30 : 10,166.84 = 2,395.54 : x
  2. Step 2: Convert to fraction form
    6,778.30/10,166.84 = 2,395.54/x
  3. Step 3: Cross multiply
    6,778.30x = 10,166.84 × 2,395.54
  4. Step 4: Simplify right side
    6,778.30x = 24,355,021.06
  5. Step 5: Solve for x
    x = 24,355,021.06/6,778.30
  6. Step 6: Final answer
    x = 3,593.09

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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.