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Finding the Fourth Proportional to 12,086.35, 16,679.12 and 6,781.19

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Solution

The fourth proportional to 12,086.35, 16,679.12 and 6,781.19 is: 9,358.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,086.35 : 16,679.12 = 6,781.19 : x
  2. Step 2: Convert to fraction form
    12,086.35/16,679.12 = 6,781.19/x
  3. Step 3: Cross multiply
    12,086.35x = 16,679.12 × 6,781.19
  4. Step 4: Simplify right side
    12,086.35x = 113,104,164.45
  5. Step 5: Solve for x
    x = 113,104,164.45/12,086.35
  6. Step 6: Final answer
    x = 9,358.01

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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.