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Finding the Fourth Proportional to 6,960.28, 10,439.28 and 2,280.22

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Solution

The fourth proportional to 6,960.28, 10,439.28 and 2,280.22 is: 3,419.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,960.28 : 10,439.28 = 2,280.22 : x
  2. Step 2: Convert to fraction form
    6,960.28/10,439.28 = 2,280.22/x
  3. Step 3: Cross multiply
    6,960.28x = 10,439.28 × 2,280.22
  4. Step 4: Simplify right side
    6,960.28x = 23,803,855.04
  5. Step 5: Solve for x
    x = 23,803,855.04/6,960.28
  6. Step 6: Final answer
    x = 3,419.96

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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.