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Finding the Fourth Proportional to 7,367.75, 10,172.37 and 5,663.22

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Solution

The fourth proportional to 7,367.75, 10,172.37 and 5,663.22 is: 7,819.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,367.75 : 10,172.37 = 5,663.22 : x
  2. Step 2: Convert to fraction form
    7,367.75/10,172.37 = 5,663.22/x
  3. Step 3: Cross multiply
    7,367.75x = 10,172.37 × 5,663.22
  4. Step 4: Simplify right side
    7,367.75x = 57,608,369.23
  5. Step 5: Solve for x
    x = 57,608,369.23/7,367.75
  6. Step 6: Final answer
    x = 7,819.00

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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.