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Finding the Fourth Proportional to 6,738.09, 10,108.17 and 2,057.01

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Solution

The fourth proportional to 6,738.09, 10,108.17 and 2,057.01 is: 3,085.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,738.09 : 10,108.17 = 2,057.01 : x
  2. Step 2: Convert to fraction form
    6,738.09/10,108.17 = 2,057.01/x
  3. Step 3: Cross multiply
    6,738.09x = 10,108.17 × 2,057.01
  4. Step 4: Simplify right side
    6,738.09x = 20,792,606.77
  5. Step 5: Solve for x
    x = 20,792,606.77/6,738.09
  6. Step 6: Final answer
    x = 3,085.83

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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.