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Finding the Fourth Proportional to 6,906.30, 10,360.80 and 2,745.60

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Solution

The fourth proportional to 6,906.30, 10,360.80 and 2,745.60 is: 4,118.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,906.30 : 10,360.80 = 2,745.60 : x
  2. Step 2: Convert to fraction form
    6,906.30/10,360.80 = 2,745.60/x
  3. Step 3: Cross multiply
    6,906.30x = 10,360.80 × 2,745.60
  4. Step 4: Simplify right side
    6,906.30x = 28,446,612.48
  5. Step 5: Solve for x
    x = 28,446,612.48/6,906.30
  6. Step 6: Final answer
    x = 4,118.94

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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.