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Finding the Fourth Proportional to 8,270.39, 12,383.46 and 6,958.19

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Solution

The fourth proportional to 8,270.39, 12,383.46 and 6,958.19 is: 10,418.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,270.39 : 12,383.46 = 6,958.19 : x
  2. Step 2: Convert to fraction form
    8,270.39/12,383.46 = 6,958.19/x
  3. Step 3: Cross multiply
    8,270.39x = 12,383.46 × 6,958.19
  4. Step 4: Simplify right side
    8,270.39x = 86,166,467.54
  5. Step 5: Solve for x
    x = 86,166,467.54/8,270.39
  6. Step 6: Final answer
    x = 10,418.67

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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.