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Finding the Fourth Proportional to 10,286.80, 14,196.57 and 5,811.04

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Solution

The fourth proportional to 10,286.80, 14,196.57 and 5,811.04 is: 8,019.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,286.80 : 14,196.57 = 5,811.04 : x
  2. Step 2: Convert to fraction form
    10,286.80/14,196.57 = 5,811.04/x
  3. Step 3: Cross multiply
    10,286.80x = 14,196.57 × 5,811.04
  4. Step 4: Simplify right side
    10,286.80x = 82,496,832.09
  5. Step 5: Solve for x
    x = 82,496,832.09/10,286.80
  6. Step 6: Final answer
    x = 8,019.68

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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.