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Finding the Fourth Proportional to 7,193.12, 10,791.12 and 2,264

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Solution

The fourth proportional to 7,193.12, 10,791.12 and 2,264 is: 3,396.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,193.12 : 10,791.12 = 2,264 : x
  2. Step 2: Convert to fraction form
    7,193.12/10,791.12 = 2,264/x
  3. Step 3: Cross multiply
    7,193.12x = 10,791.12 × 2,264
  4. Step 4: Simplify right side
    7,193.12x = 24,431,095.68
  5. Step 5: Solve for x
    x = 24,431,095.68/7,193.12
  6. Step 6: Final answer
    x = 3,396.45

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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.