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Finding the Fourth Proportional to 7,213.77, 10,822.13 and 2,771.25

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Solution

The fourth proportional to 7,213.77, 10,822.13 and 2,771.25 is: 4,157.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,213.77 : 10,822.13 = 2,771.25 : x
  2. Step 2: Convert to fraction form
    7,213.77/10,822.13 = 2,771.25/x
  3. Step 3: Cross multiply
    7,213.77x = 10,822.13 × 2,771.25
  4. Step 4: Simplify right side
    7,213.77x = 29,990,813.91
  5. Step 5: Solve for x
    x = 29,990,813.91/7,213.77
  6. Step 6: Final answer
    x = 4,157.44

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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.