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Finding the Fourth Proportional to 8,142.51, 11,247.21 and 6,022.38

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Solution

The fourth proportional to 8,142.51, 11,247.21 and 6,022.38 is: 8,318.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,142.51 : 11,247.21 = 6,022.38 : x
  2. Step 2: Convert to fraction form
    8,142.51/11,247.21 = 6,022.38/x
  3. Step 3: Cross multiply
    8,142.51x = 11,247.21 × 6,022.38
  4. Step 4: Simplify right side
    8,142.51x = 67,734,972.56
  5. Step 5: Solve for x
    x = 67,734,972.56/8,142.51
  6. Step 6: Final answer
    x = 8,318.68

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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.