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Finding the Fourth Proportional to 7,238.26, 10,849.42 and 4,736.44

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Solution

The fourth proportional to 7,238.26, 10,849.42 and 4,736.44 is: 7,099.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,238.26 : 10,849.42 = 4,736.44 : x
  2. Step 2: Convert to fraction form
    7,238.26/10,849.42 = 4,736.44/x
  3. Step 3: Cross multiply
    7,238.26x = 10,849.42 × 4,736.44
  4. Step 4: Simplify right side
    7,238.26x = 51,387,626.86
  5. Step 5: Solve for x
    x = 51,387,626.86/7,238.26
  6. Step 6: Final answer
    x = 7,099.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.