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Finding the Fourth Proportional to 6,857.28, 10,287.72 and 2,960.76

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Solution

The fourth proportional to 6,857.28, 10,287.72 and 2,960.76 is: 4,441.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,857.28 : 10,287.72 = 2,960.76 : x
  2. Step 2: Convert to fraction form
    6,857.28/10,287.72 = 2,960.76/x
  3. Step 3: Cross multiply
    6,857.28x = 10,287.72 × 2,960.76
  4. Step 4: Simplify right side
    6,857.28x = 30,459,469.87
  5. Step 5: Solve for x
    x = 30,459,469.87/6,857.28
  6. Step 6: Final answer
    x = 4,441.92

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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.