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Finding the Fourth Proportional to 11,777.20, 16,266.96 and 8,806.25

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Solution

The fourth proportional to 11,777.20, 16,266.96 and 8,806.25 is: 12,163.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,777.20 : 16,266.96 = 8,806.25 : x
  2. Step 2: Convert to fraction form
    11,777.20/16,266.96 = 8,806.25/x
  3. Step 3: Cross multiply
    11,777.20x = 16,266.96 × 8,806.25
  4. Step 4: Simplify right side
    11,777.20x = 143,250,957.17
  5. Step 5: Solve for x
    x = 143,250,957.17/11,777.20
  6. Step 6: Final answer
    x = 12,163.42

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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.