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Finding the Fourth Proportional to 8,086.12, 12,129.14 and 6,987.14

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Solution

The fourth proportional to 8,086.12, 12,129.14 and 6,987.14 is: 10,480.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,086.12 : 12,129.14 = 6,987.14 : x
  2. Step 2: Convert to fraction form
    8,086.12/12,129.14 = 6,987.14/x
  3. Step 3: Cross multiply
    8,086.12x = 12,129.14 × 6,987.14
  4. Step 4: Simplify right side
    8,086.12x = 84,747,999.26
  5. Step 5: Solve for x
    x = 84,747,999.26/8,086.12
  6. Step 6: Final answer
    x = 10,480.68

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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.