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Finding the Fourth Proportional to 11,193.48, 16,781.76 and 6,809.76

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Solution

The fourth proportional to 11,193.48, 16,781.76 and 6,809.76 is: 10,209.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,193.48 : 16,781.76 = 6,809.76 : x
  2. Step 2: Convert to fraction form
    11,193.48/16,781.76 = 6,809.76/x
  3. Step 3: Cross multiply
    11,193.48x = 16,781.76 × 6,809.76
  4. Step 4: Simplify right side
    11,193.48x = 114,279,757.98
  5. Step 5: Solve for x
    x = 114,279,757.98/11,193.48
  6. Step 6: Final answer
    x = 10,209.49

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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.