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Finding the Fourth Proportional to 7,564.36, 11,344.38 and 3,181

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Solution

The fourth proportional to 7,564.36, 11,344.38 and 3,181 is: 4,770.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,564.36 : 11,344.38 = 3,181 : x
  2. Step 2: Convert to fraction form
    7,564.36/11,344.38 = 3,181/x
  3. Step 3: Cross multiply
    7,564.36x = 11,344.38 × 3,181
  4. Step 4: Simplify right side
    7,564.36x = 36,086,472.78
  5. Step 5: Solve for x
    x = 36,086,472.78/7,564.36
  6. Step 6: Final answer
    x = 4,770.59

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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.