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Finding the Fourth Proportional to 7,615.97, 11,412.09 and 3,662.96

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Solution

The fourth proportional to 7,615.97, 11,412.09 and 3,662.96 is: 5,488.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,615.97 : 11,412.09 = 3,662.96 : x
  2. Step 2: Convert to fraction form
    7,615.97/11,412.09 = 3,662.96/x
  3. Step 3: Cross multiply
    7,615.97x = 11,412.09 × 3,662.96
  4. Step 4: Simplify right side
    7,615.97x = 41,802,029.19
  5. Step 5: Solve for x
    x = 41,802,029.19/7,615.97
  6. Step 6: Final answer
    x = 5,488.73

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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.