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Finding the Fourth Proportional to 10,033.86, 13,843.17 and 5,997.89

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Solution

The fourth proportional to 10,033.86, 13,843.17 and 5,997.89 is: 8,274.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,033.86 : 13,843.17 = 5,997.89 : x
  2. Step 2: Convert to fraction form
    10,033.86/13,843.17 = 5,997.89/x
  3. Step 3: Cross multiply
    10,033.86x = 13,843.17 × 5,997.89
  4. Step 4: Simplify right side
    10,033.86x = 83,029,767.65
  5. Step 5: Solve for x
    x = 83,029,767.65/10,033.86
  6. Step 6: Final answer
    x = 8,274.95

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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.