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Finding the Fourth Proportional to 7,541.97, 11,291.95 and 3,836.22

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Solution

The fourth proportional to 7,541.97, 11,291.95 and 3,836.22 is: 5,743.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,541.97 : 11,291.95 = 3,836.22 : x
  2. Step 2: Convert to fraction form
    7,541.97/11,291.95 = 3,836.22/x
  3. Step 3: Cross multiply
    7,541.97x = 11,291.95 × 3,836.22
  4. Step 4: Simplify right side
    7,541.97x = 43,318,404.43
  5. Step 5: Solve for x
    x = 43,318,404.43/7,541.97
  6. Step 6: Final answer
    x = 5,743.65

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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.