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Finding the Fourth Proportional to 7,157.36, 10,732.44 and 2,226

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Solution

The fourth proportional to 7,157.36, 10,732.44 and 2,226 is: 3,337.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,157.36 : 10,732.44 = 2,226 : x
  2. Step 2: Convert to fraction form
    7,157.36/10,732.44 = 2,226/x
  3. Step 3: Cross multiply
    7,157.36x = 10,732.44 × 2,226
  4. Step 4: Simplify right side
    7,157.36x = 23,890,411.44
  5. Step 5: Solve for x
    x = 23,890,411.44/7,157.36
  6. Step 6: Final answer
    x = 3,337.88

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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.