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Finding the Fourth Proportional to 10,992.09, 15,169.09 and 5,956.31

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Solution

The fourth proportional to 10,992.09, 15,169.09 and 5,956.31 is: 8,219.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,992.09 : 15,169.09 = 5,956.31 : x
  2. Step 2: Convert to fraction form
    10,992.09/15,169.09 = 5,956.31/x
  3. Step 3: Cross multiply
    10,992.09x = 15,169.09 × 5,956.31
  4. Step 4: Simplify right side
    10,992.09x = 90,351,776.46
  5. Step 5: Solve for x
    x = 90,351,776.46/10,992.09
  6. Step 6: Final answer
    x = 8,219.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.