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Finding the Fourth Proportional to 7,222.34, 10,832.30 and 2,027

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Solution

The fourth proportional to 7,222.34, 10,832.30 and 2,027 is: 3,040.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,222.34 : 10,832.30 = 2,027 : x
  2. Step 2: Convert to fraction form
    7,222.34/10,832.30 = 2,027/x
  3. Step 3: Cross multiply
    7,222.34x = 10,832.30 × 2,027
  4. Step 4: Simplify right side
    7,222.34x = 21,957,072.10
  5. Step 5: Solve for x
    x = 21,957,072.10/7,222.34
  6. Step 6: Final answer
    x = 3,040.16

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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.