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Finding the Fourth Proportional to 11,874.67, 17,812.01 and 4,083.48

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Solution

The fourth proportional to 11,874.67, 17,812.01 and 4,083.48 is: 6,125.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,874.67 : 17,812.01 = 4,083.48 : x
  2. Step 2: Convert to fraction form
    11,874.67/17,812.01 = 4,083.48/x
  3. Step 3: Cross multiply
    11,874.67x = 17,812.01 × 4,083.48
  4. Step 4: Simplify right side
    11,874.67x = 72,734,996.80
  5. Step 5: Solve for x
    x = 72,734,996.80/11,874.67
  6. Step 6: Final answer
    x = 6,125.22

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Why These Related Problems?

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