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Finding the Fourth Proportional to 11,761.14, 16,225.74 and 7,571.82

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Solution

The fourth proportional to 11,761.14, 16,225.74 and 7,571.82 is: 10,446.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,761.14 : 16,225.74 = 7,571.82 : x
  2. Step 2: Convert to fraction form
    11,761.14/16,225.74 = 7,571.82/x
  3. Step 3: Cross multiply
    11,761.14x = 16,225.74 × 7,571.82
  4. Step 4: Simplify right side
    11,761.14x = 122,858,382.65
  5. Step 5: Solve for x
    x = 122,858,382.65/11,761.14
  6. Step 6: Final answer
    x = 10,446.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.