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Finding the Fourth Proportional to 11,481.64, 17,220.17 and 3,159.50

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Solution

The fourth proportional to 11,481.64, 17,220.17 and 3,159.50 is: 4,738.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,481.64 : 17,220.17 = 3,159.50 : x
  2. Step 2: Convert to fraction form
    11,481.64/17,220.17 = 3,159.50/x
  3. Step 3: Cross multiply
    11,481.64x = 17,220.17 × 3,159.50
  4. Step 4: Simplify right side
    11,481.64x = 54,407,127.12
  5. Step 5: Solve for x
    x = 54,407,127.12/11,481.64
  6. Step 6: Final answer
    x = 4,738.62

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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.