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Finding the Fourth Proportional to 11,760.31, 16,229.22 and 6,455.11

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Solution

The fourth proportional to 11,760.31, 16,229.22 and 6,455.11 is: 8,908.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,760.31 : 16,229.22 = 6,455.11 : x
  2. Step 2: Convert to fraction form
    11,760.31/16,229.22 = 6,455.11/x
  3. Step 3: Cross multiply
    11,760.31x = 16,229.22 × 6,455.11
  4. Step 4: Simplify right side
    11,760.31x = 104,761,400.31
  5. Step 5: Solve for x
    x = 104,761,400.31/11,760.31
  6. Step 6: Final answer
    x = 8,908.05

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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.