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Finding the Fourth Proportional to 8,101.77, 12,145.37 and 2,906.43

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Solution

The fourth proportional to 8,101.77, 12,145.37 and 2,906.43 is: 4,357.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,101.77 : 12,145.37 = 2,906.43 : x
  2. Step 2: Convert to fraction form
    8,101.77/12,145.37 = 2,906.43/x
  3. Step 3: Cross multiply
    8,101.77x = 12,145.37 × 2,906.43
  4. Step 4: Simplify right side
    8,101.77x = 35,299,653.20
  5. Step 5: Solve for x
    x = 35,299,653.20/8,101.77
  6. Step 6: Final answer
    x = 4,357.03

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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.