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Finding the Fourth Proportional to 10,286.89, 14,195.11 and 5,811.13

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Solution

The fourth proportional to 10,286.89, 14,195.11 and 5,811.13 is: 8,018.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,286.89 : 14,195.11 = 5,811.13 : x
  2. Step 2: Convert to fraction form
    10,286.89/14,195.11 = 5,811.13/x
  3. Step 3: Cross multiply
    10,286.89x = 14,195.11 × 5,811.13
  4. Step 4: Simplify right side
    10,286.89x = 82,489,629.57
  5. Step 5: Solve for x
    x = 82,489,629.57/10,286.89
  6. Step 6: Final answer
    x = 8,018.91

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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.