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Finding the Fourth Proportional to 7,282.36, 10,924.62 and 2,665

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Solution

The fourth proportional to 7,282.36, 10,924.62 and 2,665 is: 3,997.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,282.36 : 10,924.62 = 2,665 : x
  2. Step 2: Convert to fraction form
    7,282.36/10,924.62 = 2,665/x
  3. Step 3: Cross multiply
    7,282.36x = 10,924.62 × 2,665
  4. Step 4: Simplify right side
    7,282.36x = 29,114,112.30
  5. Step 5: Solve for x
    x = 29,114,112.30/7,282.36
  6. Step 6: Final answer
    x = 3,997.90

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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.