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Finding the Fourth Proportional to 10,809.56, 16,190.84 and 5,251.20

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Solution

The fourth proportional to 10,809.56, 16,190.84 and 5,251.20 is: 7,865.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,809.56 : 16,190.84 = 5,251.20 : x
  2. Step 2: Convert to fraction form
    10,809.56/16,190.84 = 5,251.20/x
  3. Step 3: Cross multiply
    10,809.56x = 16,190.84 × 5,251.20
  4. Step 4: Simplify right side
    10,809.56x = 85,021,339.01
  5. Step 5: Solve for x
    x = 85,021,339.01/10,809.56
  6. Step 6: Final answer
    x = 7,865.38

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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.