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Finding the Fourth Proportional to 10,033.72, 13,845.78 and 5,781.76

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Solution

The fourth proportional to 10,033.72, 13,845.78 and 5,781.76 is: 7,978.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,033.72 : 13,845.78 = 5,781.76 : x
  2. Step 2: Convert to fraction form
    10,033.72/13,845.78 = 5,781.76/x
  3. Step 3: Cross multiply
    10,033.72x = 13,845.78 × 5,781.76
  4. Step 4: Simplify right side
    10,033.72x = 80,052,976.97
  5. Step 5: Solve for x
    x = 80,052,976.97/10,033.72
  6. Step 6: Final answer
    x = 7,978.39

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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.