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Finding the Fourth Proportional to 6,067.31, 8,372.79 and 3,414.71

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Solution

The fourth proportional to 6,067.31, 8,372.79 and 3,414.71 is: 4,712.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,067.31 : 8,372.79 = 3,414.71 : x
  2. Step 2: Convert to fraction form
    6,067.31/8,372.79 = 3,414.71/x
  3. Step 3: Cross multiply
    6,067.31x = 8,372.79 × 3,414.71
  4. Step 4: Simplify right side
    6,067.31x = 28,590,649.74
  5. Step 5: Solve for x
    x = 28,590,649.74/6,067.31
  6. Step 6: Final answer
    x = 4,712.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.