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Finding the Fourth Proportional to 7,756.57, 11,634.92 and 2,826.24

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Solution

The fourth proportional to 7,756.57, 11,634.92 and 2,826.24 is: 4,239.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,756.57 : 11,634.92 = 2,826.24 : x
  2. Step 2: Convert to fraction form
    7,756.57/11,634.92 = 2,826.24/x
  3. Step 3: Cross multiply
    7,756.57x = 11,634.92 × 2,826.24
  4. Step 4: Simplify right side
    7,756.57x = 32,883,076.30
  5. Step 5: Solve for x
    x = 32,883,076.30/7,756.57
  6. Step 6: Final answer
    x = 4,239.38

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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.