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Finding the Fourth Proportional to 8,447.09, 12,668.13 and 3,178.27

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Solution

The fourth proportional to 8,447.09, 12,668.13 and 3,178.27 is: 4,766.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,447.09 : 12,668.13 = 3,178.27 : x
  2. Step 2: Convert to fraction form
    8,447.09/12,668.13 = 3,178.27/x
  3. Step 3: Cross multiply
    8,447.09x = 12,668.13 × 3,178.27
  4. Step 4: Simplify right side
    8,447.09x = 40,262,753.37
  5. Step 5: Solve for x
    x = 40,262,753.37/8,447.09
  6. Step 6: Final answer
    x = 4,766.47

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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.