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Finding the Fourth Proportional to 6,832.80, 10,229.28 and 5,196

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Solution

The fourth proportional to 6,832.80, 10,229.28 and 5,196 is: 7,778.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,832.80 : 10,229.28 = 5,196 : x
  2. Step 2: Convert to fraction form
    6,832.80/10,229.28 = 5,196/x
  3. Step 3: Cross multiply
    6,832.80x = 10,229.28 × 5,196
  4. Step 4: Simplify right side
    6,832.80x = 53,151,338.88
  5. Step 5: Solve for x
    x = 53,151,338.88/6,832.80
  6. Step 6: Final answer
    x = 7,778.85

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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.