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Finding the Fourth Proportional to 11,227.32, 16,791.74 and 7,840.20

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Solution

The fourth proportional to 11,227.32, 16,791.74 and 7,840.20 is: 11,725.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,227.32 : 16,791.74 = 7,840.20 : x
  2. Step 2: Convert to fraction form
    11,227.32/16,791.74 = 7,840.20/x
  3. Step 3: Cross multiply
    11,227.32x = 16,791.74 × 7,840.20
  4. Step 4: Simplify right side
    11,227.32x = 131,650,599.95
  5. Step 5: Solve for x
    x = 131,650,599.95/11,227.32
  6. Step 6: Final answer
    x = 11,725.91

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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.