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Finding the Fourth Proportional to 8,084.64, 12,117.03 and 3,863.05

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Solution

The fourth proportional to 8,084.64, 12,117.03 and 3,863.05 is: 5,789.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,084.64 : 12,117.03 = 3,863.05 : x
  2. Step 2: Convert to fraction form
    8,084.64/12,117.03 = 3,863.05/x
  3. Step 3: Cross multiply
    8,084.64x = 12,117.03 × 3,863.05
  4. Step 4: Simplify right side
    8,084.64x = 46,808,692.74
  5. Step 5: Solve for x
    x = 46,808,692.74/8,084.64
  6. Step 6: Final answer
    x = 5,789.83

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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.