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Finding the Fourth Proportional to 10,811.43, 14,919.78 and 5,843.43

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Solution

The fourth proportional to 10,811.43, 14,919.78 and 5,843.43 is: 8,063.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,811.43 : 14,919.78 = 5,843.43 : x
  2. Step 2: Convert to fraction form
    10,811.43/14,919.78 = 5,843.43/x
  3. Step 3: Cross multiply
    10,811.43x = 14,919.78 × 5,843.43
  4. Step 4: Simplify right side
    10,811.43x = 87,182,690.05
  5. Step 5: Solve for x
    x = 87,182,690.05/10,811.43
  6. Step 6: Final answer
    x = 8,063.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.