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Finding the Fourth Proportional to 7,469.34, 10,296.78 and 5,224.23

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Solution

The fourth proportional to 7,469.34, 10,296.78 and 5,224.23 is: 7,201.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,469.34 : 10,296.78 = 5,224.23 : x
  2. Step 2: Convert to fraction form
    7,469.34/10,296.78 = 5,224.23/x
  3. Step 3: Cross multiply
    7,469.34x = 10,296.78 × 5,224.23
  4. Step 4: Simplify right side
    7,469.34x = 53,792,746.98
  5. Step 5: Solve for x
    x = 53,792,746.98/7,469.34
  6. Step 6: Final answer
    x = 7,201.81

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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.