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Finding the Fourth Proportional to 8,674.32, 11,958.12 and 6,186

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Solution

The fourth proportional to 8,674.32, 11,958.12 and 6,186 is: 8,527.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,674.32 : 11,958.12 = 6,186 : x
  2. Step 2: Convert to fraction form
    8,674.32/11,958.12 = 6,186/x
  3. Step 3: Cross multiply
    8,674.32x = 11,958.12 × 6,186
  4. Step 4: Simplify right side
    8,674.32x = 73,972,930.32
  5. Step 5: Solve for x
    x = 73,972,930.32/8,674.32
  6. Step 6: Final answer
    x = 8,527.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.