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Finding the Fourth Proportional to 7,665.44, 11,499.26 and 3,968.08

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Solution

The fourth proportional to 7,665.44, 11,499.26 and 3,968.08 is: 5,952.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,665.44 : 11,499.26 = 3,968.08 : x
  2. Step 2: Convert to fraction form
    7,665.44/11,499.26 = 3,968.08/x
  3. Step 3: Cross multiply
    7,665.44x = 11,499.26 × 3,968.08
  4. Step 4: Simplify right side
    7,665.44x = 45,629,983.62
  5. Step 5: Solve for x
    x = 45,629,983.62/7,665.44
  6. Step 6: Final answer
    x = 5,952.69

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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.