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Finding the Fourth Proportional to 7,826.54, 11,734.22 and 3,664.26

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Solution

The fourth proportional to 7,826.54, 11,734.22 and 3,664.26 is: 5,493.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,826.54 : 11,734.22 = 3,664.26 : x
  2. Step 2: Convert to fraction form
    7,826.54/11,734.22 = 3,664.26/x
  3. Step 3: Cross multiply
    7,826.54x = 11,734.22 × 3,664.26
  4. Step 4: Simplify right side
    7,826.54x = 42,997,242.14
  5. Step 5: Solve for x
    x = 42,997,242.14/7,826.54
  6. Step 6: Final answer
    x = 5,493.78

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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.