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Finding the Fourth Proportional to 11,954.99, 17,932.45 and 5,696.02

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Solution

The fourth proportional to 11,954.99, 17,932.45 and 5,696.02 is: 8,544.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,954.99 : 17,932.45 = 5,696.02 : x
  2. Step 2: Convert to fraction form
    11,954.99/17,932.45 = 5,696.02/x
  3. Step 3: Cross multiply
    11,954.99x = 17,932.45 × 5,696.02
  4. Step 4: Simplify right side
    11,954.99x = 102,143,593.85
  5. Step 5: Solve for x
    x = 102,143,593.85/11,954.99
  6. Step 6: Final answer
    x = 8,544.01

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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.