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Finding the Fourth Proportional to 8,114.99, 12,170.66 and 2,272.05

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Solution

The fourth proportional to 8,114.99, 12,170.66 and 2,272.05 is: 3,407.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,114.99 : 12,170.66 = 2,272.05 : x
  2. Step 2: Convert to fraction form
    8,114.99/12,170.66 = 2,272.05/x
  3. Step 3: Cross multiply
    8,114.99x = 12,170.66 × 2,272.05
  4. Step 4: Simplify right side
    8,114.99x = 27,652,336.69
  5. Step 5: Solve for x
    x = 27,652,336.69/8,114.99
  6. Step 6: Final answer
    x = 3,407.56

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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.