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Finding the Fourth Proportional to 8,383.25, 12,574.66 and 2,143.31

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Solution

The fourth proportional to 8,383.25, 12,574.66 and 2,143.31 is: 3,214.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,383.25 : 12,574.66 = 2,143.31 : x
  2. Step 2: Convert to fraction form
    8,383.25/12,574.66 = 2,143.31/x
  3. Step 3: Cross multiply
    8,383.25x = 12,574.66 × 2,143.31
  4. Step 4: Simplify right side
    8,383.25x = 26,951,394.52
  5. Step 5: Solve for x
    x = 26,951,394.52/8,383.25
  6. Step 6: Final answer
    x = 3,214.91

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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.