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Finding the Fourth Proportional to 8,204.94, 11,324.22 and 4,847.58

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Solution

The fourth proportional to 8,204.94, 11,324.22 and 4,847.58 is: 6,690.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,204.94 : 11,324.22 = 4,847.58 : x
  2. Step 2: Convert to fraction form
    8,204.94/11,324.22 = 4,847.58/x
  3. Step 3: Cross multiply
    8,204.94x = 11,324.22 × 4,847.58
  4. Step 4: Simplify right side
    8,204.94x = 54,895,062.39
  5. Step 5: Solve for x
    x = 54,895,062.39/8,204.94
  6. Step 6: Final answer
    x = 6,690.49

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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.