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Finding the Fourth Proportional to 8,194.80, 11,309.84 and 5,007.44

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Solution

The fourth proportional to 8,194.80, 11,309.84 and 5,007.44 is: 6,910.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,194.80 : 11,309.84 = 5,007.44 : x
  2. Step 2: Convert to fraction form
    8,194.80/11,309.84 = 5,007.44/x
  3. Step 3: Cross multiply
    8,194.80x = 11,309.84 × 5,007.44
  4. Step 4: Simplify right side
    8,194.80x = 56,633,345.21
  5. Step 5: Solve for x
    x = 56,633,345.21/8,194.80
  6. Step 6: Final answer
    x = 6,910.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.