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Finding the Fourth Proportional to 6,871.28, 10,299.06 and 3,911.31

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Solution

The fourth proportional to 6,871.28, 10,299.06 and 3,911.31 is: 5,862.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,871.28 : 10,299.06 = 3,911.31 : x
  2. Step 2: Convert to fraction form
    6,871.28/10,299.06 = 3,911.31/x
  3. Step 3: Cross multiply
    6,871.28x = 10,299.06 × 3,911.31
  4. Step 4: Simplify right side
    6,871.28x = 40,282,850.83
  5. Step 5: Solve for x
    x = 40,282,850.83/6,871.28
  6. Step 6: Final answer
    x = 5,862.50

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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.