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Finding the Fourth Proportional to 10,119.66, 15,179.50 and 3,542.26

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Solution

The fourth proportional to 10,119.66, 15,179.50 and 3,542.26 is: 5,313.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,119.66 : 15,179.50 = 3,542.26 : x
  2. Step 2: Convert to fraction form
    10,119.66/15,179.50 = 3,542.26/x
  3. Step 3: Cross multiply
    10,119.66x = 15,179.50 × 3,542.26
  4. Step 4: Simplify right side
    10,119.66x = 53,769,735.67
  5. Step 5: Solve for x
    x = 53,769,735.67/10,119.66
  6. Step 6: Final answer
    x = 5,313.39

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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.