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Finding the Fourth Proportional to 8,016, 12,022.40 and 2,822.08

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Solution

The fourth proportional to 8,016, 12,022.40 and 2,822.08 is: 4,232.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,016 : 12,022.40 = 2,822.08 : x
  2. Step 2: Convert to fraction form
    8,016/12,022.40 = 2,822.08/x
  3. Step 3: Cross multiply
    8,016x = 12,022.40 × 2,822.08
  4. Step 4: Simplify right side
    8,016x = 33,928,174.59
  5. Step 5: Solve for x
    x = 33,928,174.59/8,016
  6. Step 6: Final answer
    x = 4,232.56

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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.