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Finding the Fourth Proportional to 6,735.99, 10,104.55 and 2,057.04

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Solution

The fourth proportional to 6,735.99, 10,104.55 and 2,057.04 is: 3,085.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,735.99 : 10,104.55 = 2,057.04 : x
  2. Step 2: Convert to fraction form
    6,735.99/10,104.55 = 2,057.04/x
  3. Step 3: Cross multiply
    6,735.99x = 10,104.55 × 2,057.04
  4. Step 4: Simplify right side
    6,735.99x = 20,785,463.53
  5. Step 5: Solve for x
    x = 20,785,463.53/6,735.99
  6. Step 6: Final answer
    x = 3,085.73

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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.