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Finding the Fourth Proportional to 11,687.25, 16,121.91 and 7,648.47

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Solution

The fourth proportional to 11,687.25, 16,121.91 and 7,648.47 is: 10,550.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,687.25 : 16,121.91 = 7,648.47 : x
  2. Step 2: Convert to fraction form
    11,687.25/16,121.91 = 7,648.47/x
  3. Step 3: Cross multiply
    11,687.25x = 16,121.91 × 7,648.47
  4. Step 4: Simplify right side
    11,687.25x = 123,307,944.98
  5. Step 5: Solve for x
    x = 123,307,944.98/11,687.25
  6. Step 6: Final answer
    x = 10,550.64

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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.