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Finding the Fourth Proportional to 11,380.40, 17,086.56 and 5,837.68

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Solution

The fourth proportional to 11,380.40, 17,086.56 and 5,837.68 is: 8,764.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,380.40 : 17,086.56 = 5,837.68 : x
  2. Step 2: Convert to fraction form
    11,380.40/17,086.56 = 5,837.68/x
  3. Step 3: Cross multiply
    11,380.40x = 17,086.56 × 5,837.68
  4. Step 4: Simplify right side
    11,380.40x = 99,745,869.58
  5. Step 5: Solve for x
    x = 99,745,869.58/11,380.40
  6. Step 6: Final answer
    x = 8,764.71

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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.