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Finding the Fourth Proportional to 11,760.86, 16,229.43 and 6,455.57

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Solution

The fourth proportional to 11,760.86, 16,229.43 and 6,455.57 is: 8,908.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,760.86 : 16,229.43 = 6,455.57 : x
  2. Step 2: Convert to fraction form
    11,760.86/16,229.43 = 6,455.57/x
  3. Step 3: Cross multiply
    11,760.86x = 16,229.43 × 6,455.57
  4. Step 4: Simplify right side
    11,760.86x = 104,770,140.28
  5. Step 5: Solve for x
    x = 104,770,140.28/11,760.86
  6. Step 6: Final answer
    x = 8,908.37

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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.