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Finding the Fourth Proportional to 8,268.94, 11,421.03 and 6,027.22

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Solution

The fourth proportional to 8,268.94, 11,421.03 and 6,027.22 is: 8,324.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,268.94 : 11,421.03 = 6,027.22 : x
  2. Step 2: Convert to fraction form
    8,268.94/11,421.03 = 6,027.22/x
  3. Step 3: Cross multiply
    8,268.94x = 11,421.03 × 6,027.22
  4. Step 4: Simplify right side
    8,268.94x = 68,837,060.44
  5. Step 5: Solve for x
    x = 68,837,060.44/8,268.94
  6. Step 6: Final answer
    x = 8,324.77

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Why These Related Problems?

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