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Finding the Fourth Proportional to 12,086.49, 16,679.61 and 6,781.67

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Solution

The fourth proportional to 12,086.49, 16,679.61 and 6,781.67 is: 9,358.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,086.49 : 16,679.61 = 6,781.67 : x
  2. Step 2: Convert to fraction form
    12,086.49/16,679.61 = 6,781.67/x
  3. Step 3: Cross multiply
    12,086.49x = 16,679.61 × 6,781.67
  4. Step 4: Simplify right side
    12,086.49x = 113,115,527.35
  5. Step 5: Solve for x
    x = 113,115,527.35/12,086.49
  6. Step 6: Final answer
    x = 9,358.84

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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.