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Finding the Fourth Proportional to 11,760.69, 16,229.21 and 6,455.60

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Solution

The fourth proportional to 11,760.69, 16,229.21 and 6,455.60 is: 8,908.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,760.69 : 16,229.21 = 6,455.60 : x
  2. Step 2: Convert to fraction form
    11,760.69/16,229.21 = 6,455.60/x
  3. Step 3: Cross multiply
    11,760.69x = 16,229.21 × 6,455.60
  4. Step 4: Simplify right side
    11,760.69x = 104,769,174.65
  5. Step 5: Solve for x
    x = 104,769,174.65/11,760.69
  6. Step 6: Final answer
    x = 8,908.42

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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.