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Finding the Fourth Proportional to 10,073.82, 15,100.61 and 3,832.23

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Solution

The fourth proportional to 10,073.82, 15,100.61 and 3,832.23 is: 5,744.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,073.82 : 15,100.61 = 3,832.23 : x
  2. Step 2: Convert to fraction form
    10,073.82/15,100.61 = 3,832.23/x
  3. Step 3: Cross multiply
    10,073.82x = 15,100.61 × 3,832.23
  4. Step 4: Simplify right side
    10,073.82x = 57,868,991.50
  5. Step 5: Solve for x
    x = 57,868,991.50/10,073.82
  6. Step 6: Final answer
    x = 5,744.49

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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.