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Finding the Fourth Proportional to 7,834.06, 10,811.06 and 4,249.09

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Solution

The fourth proportional to 7,834.06, 10,811.06 and 4,249.09 is: 5,863.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,834.06 : 10,811.06 = 4,249.09 : x
  2. Step 2: Convert to fraction form
    7,834.06/10,811.06 = 4,249.09/x
  3. Step 3: Cross multiply
    7,834.06x = 10,811.06 × 4,249.09
  4. Step 4: Simplify right side
    7,834.06x = 45,937,166.94
  5. Step 5: Solve for x
    x = 45,937,166.94/7,834.06
  6. Step 6: Final answer
    x = 5,863.78

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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.