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Finding the Fourth Proportional to 8,531.49, 11,759.82 and 5,693.25

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Solution

The fourth proportional to 8,531.49, 11,759.82 and 5,693.25 is: 7,847.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,531.49 : 11,759.82 = 5,693.25 : x
  2. Step 2: Convert to fraction form
    8,531.49/11,759.82 = 5,693.25/x
  3. Step 3: Cross multiply
    8,531.49x = 11,759.82 × 5,693.25
  4. Step 4: Simplify right side
    8,531.49x = 66,951,595.22
  5. Step 5: Solve for x
    x = 66,951,595.22/8,531.49
  6. Step 6: Final answer
    x = 7,847.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.