Home / 8,167.24-11,268.82-5,182

Finding the Fourth Proportional to 8,167.24, 11,268.82 and 5,182

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Solution

The fourth proportional to 8,167.24, 11,268.82 and 5,182 is: 7,149.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,167.24 : 11,268.82 = 5,182 : x
  2. Step 2: Convert to fraction form
    8,167.24/11,268.82 = 5,182/x
  3. Step 3: Cross multiply
    8,167.24x = 11,268.82 × 5,182
  4. Step 4: Simplify right side
    8,167.24x = 58,395,025.24
  5. Step 5: Solve for x
    x = 58,395,025.24/8,167.24
  6. Step 6: Final answer
    x = 7,149.91

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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.