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Finding the Fourth Proportional to 7,227.68, 10,841.52 and 2,297.32

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Solution

The fourth proportional to 7,227.68, 10,841.52 and 2,297.32 is: 3,445.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,227.68 : 10,841.52 = 2,297.32 : x
  2. Step 2: Convert to fraction form
    7,227.68/10,841.52 = 2,297.32/x
  3. Step 3: Cross multiply
    7,227.68x = 10,841.52 × 2,297.32
  4. Step 4: Simplify right side
    7,227.68x = 24,906,407.88
  5. Step 5: Solve for x
    x = 24,906,407.88/7,227.68
  6. Step 6: Final answer
    x = 3,445.98

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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.