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Finding the Fourth Proportional to 11,505.52, 15,876.90 and 6,469.66

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Solution

The fourth proportional to 11,505.52, 15,876.90 and 6,469.66 is: 8,927.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,505.52 : 15,876.90 = 6,469.66 : x
  2. Step 2: Convert to fraction form
    11,505.52/15,876.90 = 6,469.66/x
  3. Step 3: Cross multiply
    11,505.52x = 15,876.90 × 6,469.66
  4. Step 4: Simplify right side
    11,505.52x = 102,718,144.85
  5. Step 5: Solve for x
    x = 102,718,144.85/11,505.52
  6. Step 6: Final answer
    x = 8,927.73

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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.