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Finding the Fourth Proportional to 11,825.72, 17,732.78 and 6,896.60

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Solution

The fourth proportional to 11,825.72, 17,732.78 and 6,896.60 is: 10,341.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,825.72 : 17,732.78 = 6,896.60 : x
  2. Step 2: Convert to fraction form
    11,825.72/17,732.78 = 6,896.60/x
  3. Step 3: Cross multiply
    11,825.72x = 17,732.78 × 6,896.60
  4. Step 4: Simplify right side
    11,825.72x = 122,295,890.55
  5. Step 5: Solve for x
    x = 122,295,890.55/11,825.72
  6. Step 6: Final answer
    x = 10,341.52

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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.