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Finding the Fourth Proportional to 11,694.75, 17,542.98 and 4,769.25

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Solution

The fourth proportional to 11,694.75, 17,542.98 and 4,769.25 is: 7,154.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,694.75 : 17,542.98 = 4,769.25 : x
  2. Step 2: Convert to fraction form
    11,694.75/17,542.98 = 4,769.25/x
  3. Step 3: Cross multiply
    11,694.75x = 17,542.98 × 4,769.25
  4. Step 4: Simplify right side
    11,694.75x = 83,666,857.37
  5. Step 5: Solve for x
    x = 83,666,857.37/11,694.75
  6. Step 6: Final answer
    x = 7,154.22

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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.