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Finding the Fourth Proportional to 8,311.94, 11,468.80 and 5,288.26

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Solution

The fourth proportional to 8,311.94, 11,468.80 and 5,288.26 is: 7,296.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,311.94 : 11,468.80 = 5,288.26 : x
  2. Step 2: Convert to fraction form
    8,311.94/11,468.80 = 5,288.26/x
  3. Step 3: Cross multiply
    8,311.94x = 11,468.80 × 5,288.26
  4. Step 4: Simplify right side
    8,311.94x = 60,649,998.52
  5. Step 5: Solve for x
    x = 60,649,998.52/8,311.94
  6. Step 6: Final answer
    x = 7,296.73

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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.