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Finding the Fourth Proportional to 10,243.74, 14,139.03 and 6,268.17

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Solution

The fourth proportional to 10,243.74, 14,139.03 and 6,268.17 is: 8,651.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,243.74 : 14,139.03 = 6,268.17 : x
  2. Step 2: Convert to fraction form
    10,243.74/14,139.03 = 6,268.17/x
  3. Step 3: Cross multiply
    10,243.74x = 14,139.03 × 6,268.17
  4. Step 4: Simplify right side
    10,243.74x = 88,625,843.68
  5. Step 5: Solve for x
    x = 88,625,843.68/10,243.74
  6. Step 6: Final answer
    x = 8,651.71

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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.