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Finding the Fourth Proportional to 10,865.72, 16,299.93 and 3,844.31

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Solution

The fourth proportional to 10,865.72, 16,299.93 and 3,844.31 is: 5,766.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,865.72 : 16,299.93 = 3,844.31 : x
  2. Step 2: Convert to fraction form
    10,865.72/16,299.93 = 3,844.31/x
  3. Step 3: Cross multiply
    10,865.72x = 16,299.93 × 3,844.31
  4. Step 4: Simplify right side
    10,865.72x = 62,661,902.40
  5. Step 5: Solve for x
    x = 62,661,902.40/10,865.72
  6. Step 6: Final answer
    x = 5,766.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.