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Finding the Fourth Proportional to 7,884.36, 11,831.73 and 4,189.27

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Solution

The fourth proportional to 7,884.36, 11,831.73 and 4,189.27 is: 6,286.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,884.36 : 11,831.73 = 4,189.27 : x
  2. Step 2: Convert to fraction form
    7,884.36/11,831.73 = 4,189.27/x
  3. Step 3: Cross multiply
    7,884.36x = 11,831.73 × 4,189.27
  4. Step 4: Simplify right side
    7,884.36x = 49,566,311.54
  5. Step 5: Solve for x
    x = 49,566,311.54/7,884.36
  6. Step 6: Final answer
    x = 6,286.67

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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.