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Finding the Fourth Proportional to 7,194.42, 10,792.44 and 2,262.74

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Solution

The fourth proportional to 7,194.42, 10,792.44 and 2,262.74 is: 3,394.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,194.42 : 10,792.44 = 2,262.74 : x
  2. Step 2: Convert to fraction form
    7,194.42/10,792.44 = 2,262.74/x
  3. Step 3: Cross multiply
    7,194.42x = 10,792.44 × 2,262.74
  4. Step 4: Simplify right side
    7,194.42x = 24,420,431.72
  5. Step 5: Solve for x
    x = 24,420,431.72/7,194.42
  6. Step 6: Final answer
    x = 3,394.36

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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.