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Finding the Fourth Proportional to 7,822.01, 11,734.77 and 2,627.75

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Solution

The fourth proportional to 7,822.01, 11,734.77 and 2,627.75 is: 3,942.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,822.01 : 11,734.77 = 2,627.75 : x
  2. Step 2: Convert to fraction form
    7,822.01/11,734.77 = 2,627.75/x
  3. Step 3: Cross multiply
    7,822.01x = 11,734.77 × 2,627.75
  4. Step 4: Simplify right side
    7,822.01x = 30,836,041.87
  5. Step 5: Solve for x
    x = 30,836,041.87/7,822.01
  6. Step 6: Final answer
    x = 3,942.21

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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.