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Finding the Fourth Proportional to 8,078.97, 12,111.12 and 2,883.63

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Solution

The fourth proportional to 8,078.97, 12,111.12 and 2,883.63 is: 4,322.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,078.97 : 12,111.12 = 2,883.63 : x
  2. Step 2: Convert to fraction form
    8,078.97/12,111.12 = 2,883.63/x
  3. Step 3: Cross multiply
    8,078.97x = 12,111.12 × 2,883.63
  4. Step 4: Simplify right side
    8,078.97x = 34,923,988.97
  5. Step 5: Solve for x
    x = 34,923,988.97/8,078.97
  6. Step 6: Final answer
    x = 4,322.83

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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.