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Finding the Fourth Proportional to 8,109.63, 12,164.22 and 2,266.08

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Solution

The fourth proportional to 8,109.63, 12,164.22 and 2,266.08 is: 3,399.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,109.63 : 12,164.22 = 2,266.08 : x
  2. Step 2: Convert to fraction form
    8,109.63/12,164.22 = 2,266.08/x
  3. Step 3: Cross multiply
    8,109.63x = 12,164.22 × 2,266.08
  4. Step 4: Simplify right side
    8,109.63x = 27,565,095.66
  5. Step 5: Solve for x
    x = 27,565,095.66/8,109.63
  6. Step 6: Final answer
    x = 3,399.06

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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.