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Finding the Fourth Proportional to 8,109.96, 12,164.94 and 2,266.72

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Solution

The fourth proportional to 8,109.96, 12,164.94 and 2,266.72 is: 3,400.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,109.96 : 12,164.94 = 2,266.72 : x
  2. Step 2: Convert to fraction form
    8,109.96/12,164.94 = 2,266.72/x
  3. Step 3: Cross multiply
    8,109.96x = 12,164.94 × 2,266.72
  4. Step 4: Simplify right side
    8,109.96x = 27,574,512.80
  5. Step 5: Solve for x
    x = 27,574,512.80/8,109.96
  6. Step 6: Final answer
    x = 3,400.08

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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.