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Finding the Fourth Proportional to 8,042.22, 11,039.09 and 7,138.26

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Solution

The fourth proportional to 8,042.22, 11,039.09 and 7,138.26 is: 9,798.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,042.22 : 11,039.09 = 7,138.26 : x
  2. Step 2: Convert to fraction form
    8,042.22/11,039.09 = 7,138.26/x
  3. Step 3: Cross multiply
    8,042.22x = 11,039.09 × 7,138.26
  4. Step 4: Simplify right side
    8,042.22x = 78,799,858.89
  5. Step 5: Solve for x
    x = 78,799,858.89/8,042.22
  6. Step 6: Final answer
    x = 9,798.27

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.