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Finding the Fourth Proportional to 7,523.30, 11,286.84 and 3,827.54

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Solution

The fourth proportional to 7,523.30, 11,286.84 and 3,827.54 is: 5,742.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,523.30 : 11,286.84 = 3,827.54 : x
  2. Step 2: Convert to fraction form
    7,523.30/11,286.84 = 3,827.54/x
  3. Step 3: Cross multiply
    7,523.30x = 11,286.84 × 3,827.54
  4. Step 4: Simplify right side
    7,523.30x = 43,200,831.57
  5. Step 5: Solve for x
    x = 43,200,831.57/7,523.30
  6. Step 6: Final answer
    x = 5,742.27

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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.