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Finding the Fourth Proportional to 11,541.86, 17,295.76 and 5,286.44

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Solution

The fourth proportional to 11,541.86, 17,295.76 and 5,286.44 is: 7,921.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,541.86 : 17,295.76 = 5,286.44 : x
  2. Step 2: Convert to fraction form
    11,541.86/17,295.76 = 5,286.44/x
  3. Step 3: Cross multiply
    11,541.86x = 17,295.76 × 5,286.44
  4. Step 4: Simplify right side
    11,541.86x = 91,432,997.49
  5. Step 5: Solve for x
    x = 91,432,997.49/11,541.86
  6. Step 6: Final answer
    x = 7,921.86

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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.