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Finding the Fourth Proportional to 8,494.24, 12,724.08 and 5,573.92

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Solution

The fourth proportional to 8,494.24, 12,724.08 and 5,573.92 is: 8,349.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,494.24 : 12,724.08 = 5,573.92 : x
  2. Step 2: Convert to fraction form
    8,494.24/12,724.08 = 5,573.92/x
  3. Step 3: Cross multiply
    8,494.24x = 12,724.08 × 5,573.92
  4. Step 4: Simplify right side
    8,494.24x = 70,923,003.99
  5. Step 5: Solve for x
    x = 70,923,003.99/8,494.24
  6. Step 6: Final answer
    x = 8,349.54

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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.