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Finding the Fourth Proportional to 6,768.38, 10,138.16 and 3,845.18

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Solution

The fourth proportional to 6,768.38, 10,138.16 and 3,845.18 is: 5,759.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,768.38 : 10,138.16 = 3,845.18 : x
  2. Step 2: Convert to fraction form
    6,768.38/10,138.16 = 3,845.18/x
  3. Step 3: Cross multiply
    6,768.38x = 10,138.16 × 3,845.18
  4. Step 4: Simplify right side
    6,768.38x = 38,983,050.07
  5. Step 5: Solve for x
    x = 38,983,050.07/6,768.38
  6. Step 6: Final answer
    x = 5,759.58

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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.