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Finding the Fourth Proportional to 8,109.39, 12,164.07 and 2,266.14

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Solution

The fourth proportional to 8,109.39, 12,164.07 and 2,266.14 is: 3,399.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,109.39 : 12,164.07 = 2,266.14 : x
  2. Step 2: Convert to fraction form
    8,109.39/12,164.07 = 2,266.14/x
  3. Step 3: Cross multiply
    8,109.39x = 12,164.07 × 2,266.14
  4. Step 4: Simplify right side
    8,109.39x = 27,565,485.59
  5. Step 5: Solve for x
    x = 27,565,485.59/8,109.39
  6. Step 6: Final answer
    x = 3,399.21

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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.