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Finding the Fourth Proportional to 8,263.27, 12,394.92 and 5,809.07

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Solution

The fourth proportional to 8,263.27, 12,394.92 and 5,809.07 is: 8,713.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,263.27 : 12,394.92 = 5,809.07 : x
  2. Step 2: Convert to fraction form
    8,263.27/12,394.92 = 5,809.07/x
  3. Step 3: Cross multiply
    8,263.27x = 12,394.92 × 5,809.07
  4. Step 4: Simplify right side
    8,263.27x = 72,002,957.92
  5. Step 5: Solve for x
    x = 72,002,957.92/8,263.27
  6. Step 6: Final answer
    x = 8,713.62

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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.