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Finding the Fourth Proportional to 6,896.96, 10,343.52 and 2,792

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Solution

The fourth proportional to 6,896.96, 10,343.52 and 2,792 is: 4,187.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,896.96 : 10,343.52 = 2,792 : x
  2. Step 2: Convert to fraction form
    6,896.96/10,343.52 = 2,792/x
  3. Step 3: Cross multiply
    6,896.96x = 10,343.52 × 2,792
  4. Step 4: Simplify right side
    6,896.96x = 28,879,107.84
  5. Step 5: Solve for x
    x = 28,879,107.84/6,896.96
  6. Step 6: Final answer
    x = 4,187.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.