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Finding the Fourth Proportional to 8,083.73, 12,109.83 and 4,563.09

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Solution

The fourth proportional to 8,083.73, 12,109.83 and 4,563.09 is: 6,835.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,083.73 : 12,109.83 = 4,563.09 : x
  2. Step 2: Convert to fraction form
    8,083.73/12,109.83 = 4,563.09/x
  3. Step 3: Cross multiply
    8,083.73x = 12,109.83 × 4,563.09
  4. Step 4: Simplify right side
    8,083.73x = 55,258,244.17
  5. Step 5: Solve for x
    x = 55,258,244.17/8,083.73
  6. Step 6: Final answer
    x = 6,835.74

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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.