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Finding the Fourth Proportional to 11,205.70, 15,463.26 and 6,168.94

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Solution

The fourth proportional to 11,205.70, 15,463.26 and 6,168.94 is: 8,512.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,205.70 : 15,463.26 = 6,168.94 : x
  2. Step 2: Convert to fraction form
    11,205.70/15,463.26 = 6,168.94/x
  3. Step 3: Cross multiply
    11,205.70x = 15,463.26 × 6,168.94
  4. Step 4: Simplify right side
    11,205.70x = 95,391,923.14
  5. Step 5: Solve for x
    x = 95,391,923.14/11,205.70
  6. Step 6: Final answer
    x = 8,512.80

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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.