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Finding the Fourth Proportional to 7,849.44, 10,834.09 and 4,494.18

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Solution

The fourth proportional to 7,849.44, 10,834.09 and 4,494.18 is: 6,203.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,849.44 : 10,834.09 = 4,494.18 : x
  2. Step 2: Convert to fraction form
    7,849.44/10,834.09 = 4,494.18/x
  3. Step 3: Cross multiply
    7,849.44x = 10,834.09 × 4,494.18
  4. Step 4: Simplify right side
    7,849.44x = 48,690,379.99
  5. Step 5: Solve for x
    x = 48,690,379.99/7,849.44
  6. Step 6: Final answer
    x = 6,203.04

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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.