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Finding the Fourth Proportional to 11,760.14, 16,229.22 and 6,454.64

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Solution

The fourth proportional to 11,760.14, 16,229.22 and 6,454.64 is: 8,907.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,760.14 : 16,229.22 = 6,454.64 : x
  2. Step 2: Convert to fraction form
    11,760.14/16,229.22 = 6,454.64/x
  3. Step 3: Cross multiply
    11,760.14x = 16,229.22 × 6,454.64
  4. Step 4: Simplify right side
    11,760.14x = 104,753,772.58
  5. Step 5: Solve for x
    x = 104,753,772.58/11,760.14
  6. Step 6: Final answer
    x = 8,907.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.