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Finding the Fourth Proportional to 7,912.28, 10,906.38 and 6,231.02

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Solution

The fourth proportional to 7,912.28, 10,906.38 and 6,231.02 is: 8,588.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,912.28 : 10,906.38 = 6,231.02 : x
  2. Step 2: Convert to fraction form
    7,912.28/10,906.38 = 6,231.02/x
  3. Step 3: Cross multiply
    7,912.28x = 10,906.38 × 6,231.02
  4. Step 4: Simplify right side
    7,912.28x = 67,957,871.91
  5. Step 5: Solve for x
    x = 67,957,871.91/7,912.28
  6. Step 6: Final answer
    x = 8,588.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.