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Finding the Fourth Proportional to 7,757.17, 11,640.31 and 2,826.70

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Solution

The fourth proportional to 7,757.17, 11,640.31 and 2,826.70 is: 4,241.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,757.17 : 11,640.31 = 2,826.70 : x
  2. Step 2: Convert to fraction form
    7,757.17/11,640.31 = 2,826.70/x
  3. Step 3: Cross multiply
    7,757.17x = 11,640.31 × 2,826.70
  4. Step 4: Simplify right side
    7,757.17x = 32,903,628.11
  5. Step 5: Solve for x
    x = 32,903,628.11/7,757.17
  6. Step 6: Final answer
    x = 4,241.71

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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.