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Finding the Fourth Proportional to 8,016.28, 11,984.94 and 6,797.32

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Solution

The fourth proportional to 8,016.28, 11,984.94 and 6,797.32 is: 10,162.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,016.28 : 11,984.94 = 6,797.32 : x
  2. Step 2: Convert to fraction form
    8,016.28/11,984.94 = 6,797.32/x
  3. Step 3: Cross multiply
    8,016.28x = 11,984.94 × 6,797.32
  4. Step 4: Simplify right side
    8,016.28x = 81,465,472.36
  5. Step 5: Solve for x
    x = 81,465,472.36/8,016.28
  6. Step 6: Final answer
    x = 10,162.50

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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.