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Finding the Fourth Proportional to 10,806.12, 16,216.47 and 4,231.49

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Solution

The fourth proportional to 10,806.12, 16,216.47 and 4,231.49 is: 6,350.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,806.12 : 16,216.47 = 4,231.49 : x
  2. Step 2: Convert to fraction form
    10,806.12/16,216.47 = 4,231.49/x
  3. Step 3: Cross multiply
    10,806.12x = 16,216.47 × 4,231.49
  4. Step 4: Simplify right side
    10,806.12x = 68,619,749.56
  5. Step 5: Solve for x
    x = 68,619,749.56/10,806.12
  6. Step 6: Final answer
    x = 6,350.08

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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.