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Finding the Fourth Proportional to 7,659.69, 11,467.20 and 5,694.03

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Solution

The fourth proportional to 7,659.69, 11,467.20 and 5,694.03 is: 8,524.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,659.69 : 11,467.20 = 5,694.03 : x
  2. Step 2: Convert to fraction form
    7,659.69/11,467.20 = 5,694.03/x
  3. Step 3: Cross multiply
    7,659.69x = 11,467.20 × 5,694.03
  4. Step 4: Simplify right side
    7,659.69x = 65,294,580.82
  5. Step 5: Solve for x
    x = 65,294,580.82/7,659.69
  6. Step 6: Final answer
    x = 8,524.44

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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.