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Finding the Fourth Proportional to 6,744.94, 10,095.78 and 3,617.08

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Solution

The fourth proportional to 6,744.94, 10,095.78 and 3,617.08 is: 5,414.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,744.94 : 10,095.78 = 3,617.08 : x
  2. Step 2: Convert to fraction form
    6,744.94/10,095.78 = 3,617.08/x
  3. Step 3: Cross multiply
    6,744.94x = 10,095.78 × 3,617.08
  4. Step 4: Simplify right side
    6,744.94x = 36,517,243.92
  5. Step 5: Solve for x
    x = 36,517,243.92/6,744.94
  6. Step 6: Final answer
    x = 5,414.02

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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.