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Finding the Fourth Proportional to 8,032.22, 11,091.24 and 6,039.30

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Solution

The fourth proportional to 8,032.22, 11,091.24 and 6,039.30 is: 8,339.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,032.22 : 11,091.24 = 6,039.30 : x
  2. Step 2: Convert to fraction form
    8,032.22/11,091.24 = 6,039.30/x
  3. Step 3: Cross multiply
    8,032.22x = 11,091.24 × 6,039.30
  4. Step 4: Simplify right side
    8,032.22x = 66,983,325.73
  5. Step 5: Solve for x
    x = 66,983,325.73/8,032.22
  6. Step 6: Final answer
    x = 8,339.33

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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.