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Finding the Fourth Proportional to 6,757.57, 10,136.39 and 2,140.57

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Solution

The fourth proportional to 6,757.57, 10,136.39 and 2,140.57 is: 3,210.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,757.57 : 10,136.39 = 2,140.57 : x
  2. Step 2: Convert to fraction form
    6,757.57/10,136.39 = 2,140.57/x
  3. Step 3: Cross multiply
    6,757.57x = 10,136.39 × 2,140.57
  4. Step 4: Simplify right side
    6,757.57x = 21,697,652.34
  5. Step 5: Solve for x
    x = 21,697,652.34/6,757.57
  6. Step 6: Final answer
    x = 3,210.87

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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.