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Finding the Fourth Proportional to 6,838.92, 10,260 and 2,942.28

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Solution

The fourth proportional to 6,838.92, 10,260 and 2,942.28 is: 4,414.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,838.92 : 10,260 = 2,942.28 : x
  2. Step 2: Convert to fraction form
    6,838.92/10,260 = 2,942.28/x
  3. Step 3: Cross multiply
    6,838.92x = 10,260 × 2,942.28
  4. Step 4: Simplify right side
    6,838.92x = 30,187,792.80
  5. Step 5: Solve for x
    x = 30,187,792.80/6,838.92
  6. Step 6: Final answer
    x = 4,414.12

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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.