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Finding the Fourth Proportional to 6,737.09, 10,105.38 and 1,806.46

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Solution

The fourth proportional to 6,737.09, 10,105.38 and 1,806.46 is: 2,709.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,737.09 : 10,105.38 = 1,806.46 : x
  2. Step 2: Convert to fraction form
    6,737.09/10,105.38 = 1,806.46/x
  3. Step 3: Cross multiply
    6,737.09x = 10,105.38 × 1,806.46
  4. Step 4: Simplify right side
    6,737.09x = 18,254,939.49
  5. Step 5: Solve for x
    x = 18,254,939.49/6,737.09
  6. Step 6: Final answer
    x = 2,709.62

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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.