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Finding the Fourth Proportional to 11,769.99, 17,655.12 and 3,873.03

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Solution

The fourth proportional to 11,769.99, 17,655.12 and 3,873.03 is: 5,809.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,769.99 : 17,655.12 = 3,873.03 : x
  2. Step 2: Convert to fraction form
    11,769.99/17,655.12 = 3,873.03/x
  3. Step 3: Cross multiply
    11,769.99x = 17,655.12 × 3,873.03
  4. Step 4: Simplify right side
    11,769.99x = 68,378,809.41
  5. Step 5: Solve for x
    x = 68,378,809.41/11,769.99
  6. Step 6: Final answer
    x = 5,809.59

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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.