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Finding the Fourth Proportional to 10,697.06, 16,032.22 and 5,149.37

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Solution

The fourth proportional to 10,697.06, 16,032.22 and 5,149.37 is: 7,717.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,697.06 : 16,032.22 = 5,149.37 : x
  2. Step 2: Convert to fraction form
    10,697.06/16,032.22 = 5,149.37/x
  3. Step 3: Cross multiply
    10,697.06x = 16,032.22 × 5,149.37
  4. Step 4: Simplify right side
    10,697.06x = 82,555,832.70
  5. Step 5: Solve for x
    x = 82,555,832.70/10,697.06
  6. Step 6: Final answer
    x = 7,717.62

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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.