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Finding the Fourth Proportional to 8,224.25, 11,353.11 and 5,395.73

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Solution

The fourth proportional to 8,224.25, 11,353.11 and 5,395.73 is: 7,448.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,224.25 : 11,353.11 = 5,395.73 : x
  2. Step 2: Convert to fraction form
    8,224.25/11,353.11 = 5,395.73/x
  3. Step 3: Cross multiply
    8,224.25x = 11,353.11 × 5,395.73
  4. Step 4: Simplify right side
    8,224.25x = 61,258,316.22
  5. Step 5: Solve for x
    x = 61,258,316.22/8,224.25
  6. Step 6: Final answer
    x = 7,448.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.