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Finding the Fourth Proportional to 11,443.75, 17,163.60 and 5,202.30

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Solution

The fourth proportional to 11,443.75, 17,163.60 and 5,202.30 is: 7,802.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,443.75 : 17,163.60 = 5,202.30 : x
  2. Step 2: Convert to fraction form
    11,443.75/17,163.60 = 5,202.30/x
  3. Step 3: Cross multiply
    11,443.75x = 17,163.60 × 5,202.30
  4. Step 4: Simplify right side
    11,443.75x = 89,290,196.28
  5. Step 5: Solve for x
    x = 89,290,196.28/11,443.75
  6. Step 6: Final answer
    x = 7,802.53

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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.