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Finding the Fourth Proportional to 11,809.23, 16,297.05 and 6,504.39

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Solution

The fourth proportional to 11,809.23, 16,297.05 and 6,504.39 is: 8,976.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,809.23 : 16,297.05 = 6,504.39 : x
  2. Step 2: Convert to fraction form
    11,809.23/16,297.05 = 6,504.39/x
  3. Step 3: Cross multiply
    11,809.23x = 16,297.05 × 6,504.39
  4. Step 4: Simplify right side
    11,809.23x = 106,002,369.05
  5. Step 5: Solve for x
    x = 106,002,369.05/11,809.23
  6. Step 6: Final answer
    x = 8,976.23

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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.