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Finding the Fourth Proportional to 6,734.33, 10,101.22 and 2,574.17

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Solution

The fourth proportional to 6,734.33, 10,101.22 and 2,574.17 is: 3,861.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,734.33 : 10,101.22 = 2,574.17 : x
  2. Step 2: Convert to fraction form
    6,734.33/10,101.22 = 2,574.17/x
  3. Step 3: Cross multiply
    6,734.33x = 10,101.22 × 2,574.17
  4. Step 4: Simplify right side
    6,734.33x = 26,002,257.49
  5. Step 5: Solve for x
    x = 26,002,257.49/6,734.33
  6. Step 6: Final answer
    x = 3,861.15

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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.