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Finding the Fourth Proportional to 11,992.68, 17,975.52 and 5,744.07

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Solution

The fourth proportional to 11,992.68, 17,975.52 and 5,744.07 is: 8,609.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,992.68 : 17,975.52 = 5,744.07 : x
  2. Step 2: Convert to fraction form
    11,992.68/17,975.52 = 5,744.07/x
  3. Step 3: Cross multiply
    11,992.68x = 17,975.52 × 5,744.07
  4. Step 4: Simplify right side
    11,992.68x = 103,252,645.17
  5. Step 5: Solve for x
    x = 103,252,645.17/11,992.68
  6. Step 6: Final answer
    x = 8,609.64

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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.