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Finding the Fourth Proportional to 8,022.98, 12,029.86 and 3,091.98

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Solution

The fourth proportional to 8,022.98, 12,029.86 and 3,091.98 is: 4,636.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,022.98 : 12,029.86 = 3,091.98 : x
  2. Step 2: Convert to fraction form
    8,022.98/12,029.86 = 3,091.98/x
  3. Step 3: Cross multiply
    8,022.98x = 12,029.86 × 3,091.98
  4. Step 4: Simplify right side
    8,022.98x = 37,196,086.52
  5. Step 5: Solve for x
    x = 37,196,086.52/8,022.98
  6. Step 6: Final answer
    x = 4,636.19

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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.