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Finding the Fourth Proportional to 11,963.76, 16,512.83 and 7,247.13

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Solution

The fourth proportional to 11,963.76, 16,512.83 and 7,247.13 is: 10,002.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,963.76 : 16,512.83 = 7,247.13 : x
  2. Step 2: Convert to fraction form
    11,963.76/16,512.83 = 7,247.13/x
  3. Step 3: Cross multiply
    11,963.76x = 16,512.83 × 7,247.13
  4. Step 4: Simplify right side
    11,963.76x = 119,670,625.68
  5. Step 5: Solve for x
    x = 119,670,625.68/11,963.76
  6. Step 6: Final answer
    x = 10,002.76

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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.