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Finding the Fourth Proportional to 11,561, 17,344.11 and 3,663.99

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Solution

The fourth proportional to 11,561, 17,344.11 and 3,663.99 is: 5,496.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,561 : 17,344.11 = 3,663.99 : x
  2. Step 2: Convert to fraction form
    11,561/17,344.11 = 3,663.99/x
  3. Step 3: Cross multiply
    11,561x = 17,344.11 × 3,663.99
  4. Step 4: Simplify right side
    11,561x = 63,548,645.60
  5. Step 5: Solve for x
    x = 63,548,645.60/11,561
  6. Step 6: Final answer
    x = 5,496.81

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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.