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Finding the Fourth Proportional to 10,201.75, 15,302.75 and 3,962.11

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Solution

The fourth proportional to 10,201.75, 15,302.75 and 3,962.11 is: 5,943.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,201.75 : 15,302.75 = 3,962.11 : x
  2. Step 2: Convert to fraction form
    10,201.75/15,302.75 = 3,962.11/x
  3. Step 3: Cross multiply
    10,201.75x = 15,302.75 × 3,962.11
  4. Step 4: Simplify right side
    10,201.75x = 60,631,178.80
  5. Step 5: Solve for x
    x = 60,631,178.80/10,201.75
  6. Step 6: Final answer
    x = 5,943.21

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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.