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Finding the Fourth Proportional to 6,943.68, 10,414.13 and 2,500.43

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Solution

The fourth proportional to 6,943.68, 10,414.13 and 2,500.43 is: 3,750.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,943.68 : 10,414.13 = 2,500.43 : x
  2. Step 2: Convert to fraction form
    6,943.68/10,414.13 = 2,500.43/x
  3. Step 3: Cross multiply
    6,943.68x = 10,414.13 × 2,500.43
  4. Step 4: Simplify right side
    6,943.68x = 26,039,738.50
  5. Step 5: Solve for x
    x = 26,039,738.50/6,943.68
  6. Step 6: Final answer
    x = 3,750.14

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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.