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Finding the Fourth Proportional to 11,704.37, 17,540.96 and 5,123.39

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Solution

The fourth proportional to 11,704.37, 17,540.96 and 5,123.39 is: 7,678.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,704.37 : 17,540.96 = 5,123.39 : x
  2. Step 2: Convert to fraction form
    11,704.37/17,540.96 = 5,123.39/x
  3. Step 3: Cross multiply
    11,704.37x = 17,540.96 × 5,123.39
  4. Step 4: Simplify right side
    11,704.37x = 89,869,065.73
  5. Step 5: Solve for x
    x = 89,869,065.73/11,704.37
  6. Step 6: Final answer
    x = 7,678.25

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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.