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Finding the Fourth Proportional to 8,489.72, 12,716.12 and 5,192.84

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Solution

The fourth proportional to 8,489.72, 12,716.12 and 5,192.84 is: 7,777.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,489.72 : 12,716.12 = 5,192.84 : x
  2. Step 2: Convert to fraction form
    8,489.72/12,716.12 = 5,192.84/x
  3. Step 3: Cross multiply
    8,489.72x = 12,716.12 × 5,192.84
  4. Step 4: Simplify right side
    8,489.72x = 66,032,725.98
  5. Step 5: Solve for x
    x = 66,032,725.98/8,489.72
  6. Step 6: Final answer
    x = 7,777.97

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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.