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Finding the Fourth Proportional to 10,046.34, 13,866.83 and 6,067.73

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Solution

The fourth proportional to 10,046.34, 13,866.83 and 6,067.73 is: 8,375.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,046.34 : 13,866.83 = 6,067.73 : x
  2. Step 2: Convert to fraction form
    10,046.34/13,866.83 = 6,067.73/x
  3. Step 3: Cross multiply
    10,046.34x = 13,866.83 × 6,067.73
  4. Step 4: Simplify right side
    10,046.34x = 84,140,080.72
  5. Step 5: Solve for x
    x = 84,140,080.72/10,046.34
  6. Step 6: Final answer
    x = 8,375.20

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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.