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Finding the Fourth Proportional to 7,732.27, 11,597.91 and 3,781.99

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Solution

The fourth proportional to 7,732.27, 11,597.91 and 3,781.99 is: 5,672.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,732.27 : 11,597.91 = 3,781.99 : x
  2. Step 2: Convert to fraction form
    7,732.27/11,597.91 = 3,781.99/x
  3. Step 3: Cross multiply
    7,732.27x = 11,597.91 × 3,781.99
  4. Step 4: Simplify right side
    7,732.27x = 43,863,179.64
  5. Step 5: Solve for x
    x = 43,863,179.64/7,732.27
  6. Step 6: Final answer
    x = 5,672.74

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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.