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Finding the Fourth Proportional to 8,091.77, 12,142.35 and 3,161.16

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Solution

The fourth proportional to 8,091.77, 12,142.35 and 3,161.16 is: 4,743.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,091.77 : 12,142.35 = 3,161.16 : x
  2. Step 2: Convert to fraction form
    8,091.77/12,142.35 = 3,161.16/x
  3. Step 3: Cross multiply
    8,091.77x = 12,142.35 × 3,161.16
  4. Step 4: Simplify right side
    8,091.77x = 38,383,911.13
  5. Step 5: Solve for x
    x = 38,383,911.13/8,091.77
  6. Step 6: Final answer
    x = 4,743.58

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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.