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Finding the Fourth Proportional to 11,704.92, 17,557.14 and 3,384.60

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Solution

The fourth proportional to 11,704.92, 17,557.14 and 3,384.60 is: 5,076.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,704.92 : 17,557.14 = 3,384.60 : x
  2. Step 2: Convert to fraction form
    11,704.92/17,557.14 = 3,384.60/x
  3. Step 3: Cross multiply
    11,704.92x = 17,557.14 × 3,384.60
  4. Step 4: Simplify right side
    11,704.92x = 59,423,896.04
  5. Step 5: Solve for x
    x = 59,423,896.04/11,704.92
  6. Step 6: Final answer
    x = 5,076.83

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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.