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Finding the Fourth Proportional to 7,662.24, 11,493.24 and 4,197.60

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Solution

The fourth proportional to 7,662.24, 11,493.24 and 4,197.60 is: 6,296.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,662.24 : 11,493.24 = 4,197.60 : x
  2. Step 2: Convert to fraction form
    7,662.24/11,493.24 = 4,197.60/x
  3. Step 3: Cross multiply
    7,662.24x = 11,493.24 × 4,197.60
  4. Step 4: Simplify right side
    7,662.24x = 48,244,024.22
  5. Step 5: Solve for x
    x = 48,244,024.22/7,662.24
  6. Step 6: Final answer
    x = 6,296.33

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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.