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Finding the Fourth Proportional to 11,531.88, 17,286.87 and 5,681.64

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Solution

The fourth proportional to 11,531.88, 17,286.87 and 5,681.64 is: 8,517.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,531.88 : 17,286.87 = 5,681.64 : x
  2. Step 2: Convert to fraction form
    11,531.88/17,286.87 = 5,681.64/x
  3. Step 3: Cross multiply
    11,531.88x = 17,286.87 × 5,681.64
  4. Step 4: Simplify right side
    11,531.88x = 98,217,772.07
  5. Step 5: Solve for x
    x = 98,217,772.07/11,531.88
  6. Step 6: Final answer
    x = 8,517.07

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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.