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Finding the Fourth Proportional to 7,662.73, 11,494.10 and 2,664.76

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Solution

The fourth proportional to 7,662.73, 11,494.10 and 2,664.76 is: 3,997.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,662.73 : 11,494.10 = 2,664.76 : x
  2. Step 2: Convert to fraction form
    7,662.73/11,494.10 = 2,664.76/x
  3. Step 3: Cross multiply
    7,662.73x = 11,494.10 × 2,664.76
  4. Step 4: Simplify right side
    7,662.73x = 30,628,960.45
  5. Step 5: Solve for x
    x = 30,628,960.45/7,662.73
  6. Step 6: Final answer
    x = 3,997.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.