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Finding the Fourth Proportional to 6,728.96, 10,093.62 and 3,219.38

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Solution

The fourth proportional to 6,728.96, 10,093.62 and 3,219.38 is: 4,829.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,728.96 : 10,093.62 = 3,219.38 : x
  2. Step 2: Convert to fraction form
    6,728.96/10,093.62 = 3,219.38/x
  3. Step 3: Cross multiply
    6,728.96x = 10,093.62 × 3,219.38
  4. Step 4: Simplify right side
    6,728.96x = 32,495,198.36
  5. Step 5: Solve for x
    x = 32,495,198.36/6,728.96
  6. Step 6: Final answer
    x = 4,829.16

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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.