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Finding the Fourth Proportional to 8,383.79, 12,577.31 and 2,838.05

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Solution

The fourth proportional to 8,383.79, 12,577.31 and 2,838.05 is: 4,257.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,383.79 : 12,577.31 = 2,838.05 : x
  2. Step 2: Convert to fraction form
    8,383.79/12,577.31 = 2,838.05/x
  3. Step 3: Cross multiply
    8,383.79x = 12,577.31 × 2,838.05
  4. Step 4: Simplify right side
    8,383.79x = 35,694,957.57
  5. Step 5: Solve for x
    x = 35,694,957.57/8,383.79
  6. Step 6: Final answer
    x = 4,257.62

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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.