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Finding the Fourth Proportional to 7,662.64, 11,493.94 and 2,040.31

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Solution

The fourth proportional to 7,662.64, 11,493.94 and 2,040.31 is: 3,060.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,662.64 : 11,493.94 = 2,040.31 : x
  2. Step 2: Convert to fraction form
    7,662.64/11,493.94 = 2,040.31/x
  3. Step 3: Cross multiply
    7,662.64x = 11,493.94 × 2,040.31
  4. Step 4: Simplify right side
    7,662.64x = 23,451,229.46
  5. Step 5: Solve for x
    x = 23,451,229.46/7,662.64
  6. Step 6: Final answer
    x = 3,060.46

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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.