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Finding the Fourth Proportional to 11,189.80, 16,781.13 and 4,949.68

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Solution

The fourth proportional to 11,189.80, 16,781.13 and 4,949.68 is: 7,422.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,189.80 : 16,781.13 = 4,949.68 : x
  2. Step 2: Convert to fraction form
    11,189.80/16,781.13 = 4,949.68/x
  3. Step 3: Cross multiply
    11,189.80x = 16,781.13 × 4,949.68
  4. Step 4: Simplify right side
    11,189.80x = 83,061,223.54
  5. Step 5: Solve for x
    x = 83,061,223.54/11,189.80
  6. Step 6: Final answer
    x = 7,422.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.