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Finding the Fourth Proportional to 7,523.40, 11,286.90 and 3,826.20

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Solution

The fourth proportional to 7,523.40, 11,286.90 and 3,826.20 is: 5,740.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,523.40 : 11,286.90 = 3,826.20 : x
  2. Step 2: Convert to fraction form
    7,523.40/11,286.90 = 3,826.20/x
  3. Step 3: Cross multiply
    7,523.40x = 11,286.90 × 3,826.20
  4. Step 4: Simplify right side
    7,523.40x = 43,185,936.78
  5. Step 5: Solve for x
    x = 43,185,936.78/7,523.40
  6. Step 6: Final answer
    x = 5,740.22

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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.