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Finding the Fourth Proportional to 8,134.02, 12,201.84 and 2,290.62

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Solution

The fourth proportional to 8,134.02, 12,201.84 and 2,290.62 is: 3,436.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,134.02 : 12,201.84 = 2,290.62 : x
  2. Step 2: Convert to fraction form
    8,134.02/12,201.84 = 2,290.62/x
  3. Step 3: Cross multiply
    8,134.02x = 12,201.84 × 2,290.62
  4. Step 4: Simplify right side
    8,134.02x = 27,949,778.74
  5. Step 5: Solve for x
    x = 27,949,778.74/8,134.02
  6. Step 6: Final answer
    x = 3,436.16

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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.