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Finding the Fourth Proportional to 11,204.88, 16,805.88 and 3,809.04

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Solution

The fourth proportional to 11,204.88, 16,805.88 and 3,809.04 is: 5,713.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,204.88 : 16,805.88 = 3,809.04 : x
  2. Step 2: Convert to fraction form
    11,204.88/16,805.88 = 3,809.04/x
  3. Step 3: Cross multiply
    11,204.88x = 16,805.88 × 3,809.04
  4. Step 4: Simplify right side
    11,204.88x = 64,014,269.16
  5. Step 5: Solve for x
    x = 64,014,269.16/11,204.88
  6. Step 6: Final answer
    x = 5,713.07

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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.