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Finding the Fourth Proportional to 11,923.38, 16,454.16 and 6,619.14

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Solution

The fourth proportional to 11,923.38, 16,454.16 and 6,619.14 is: 9,134.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,923.38 : 16,454.16 = 6,619.14 : x
  2. Step 2: Convert to fraction form
    11,923.38/16,454.16 = 6,619.14/x
  3. Step 3: Cross multiply
    11,923.38x = 16,454.16 × 6,619.14
  4. Step 4: Simplify right side
    11,923.38x = 108,912,388.62
  5. Step 5: Solve for x
    x = 108,912,388.62/11,923.38
  6. Step 6: Final answer
    x = 9,134.36

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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.