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Finding the Fourth Proportional to 10,227.40, 14,121.78 and 8,247.40

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Solution

The fourth proportional to 10,227.40, 14,121.78 and 8,247.40 is: 11,387.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,227.40 : 14,121.78 = 8,247.40 : x
  2. Step 2: Convert to fraction form
    10,227.40/14,121.78 = 8,247.40/x
  3. Step 3: Cross multiply
    10,227.40x = 14,121.78 × 8,247.40
  4. Step 4: Simplify right side
    10,227.40x = 116,467,968.37
  5. Step 5: Solve for x
    x = 116,467,968.37/10,227.40
  6. Step 6: Final answer
    x = 11,387.84

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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.