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Finding the Fourth Proportional to 10,033.35, 13,843.22 and 5,999.69

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Solution

The fourth proportional to 10,033.35, 13,843.22 and 5,999.69 is: 8,277.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,033.35 : 13,843.22 = 5,999.69 : x
  2. Step 2: Convert to fraction form
    10,033.35/13,843.22 = 5,999.69/x
  3. Step 3: Cross multiply
    10,033.35x = 13,843.22 × 5,999.69
  4. Step 4: Simplify right side
    10,033.35x = 83,054,929.39
  5. Step 5: Solve for x
    x = 83,054,929.39/10,033.35
  6. Step 6: Final answer
    x = 8,277.89

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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.