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Finding the Fourth Proportional to 11,939.08, 16,474.74 and 6,902.92

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Solution

The fourth proportional to 11,939.08, 16,474.74 and 6,902.92 is: 9,525.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,939.08 : 16,474.74 = 6,902.92 : x
  2. Step 2: Convert to fraction form
    11,939.08/16,474.74 = 6,902.92/x
  3. Step 3: Cross multiply
    11,939.08x = 16,474.74 × 6,902.92
  4. Step 4: Simplify right side
    11,939.08x = 113,723,812.24
  5. Step 5: Solve for x
    x = 113,723,812.24/11,939.08
  6. Step 6: Final answer
    x = 9,525.34

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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.