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Finding the Fourth Proportional to 10,227.26, 15,310.92 and 7,771.88

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Solution

The fourth proportional to 10,227.26, 15,310.92 and 7,771.88 is: 11,635.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,227.26 : 15,310.92 = 7,771.88 : x
  2. Step 2: Convert to fraction form
    10,227.26/15,310.92 = 7,771.88/x
  3. Step 3: Cross multiply
    10,227.26x = 15,310.92 × 7,771.88
  4. Step 4: Simplify right side
    10,227.26x = 118,994,632.93
  5. Step 5: Solve for x
    x = 118,994,632.93/10,227.26
  6. Step 6: Final answer
    x = 11,635.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.