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Finding the Fourth Proportional to 8,239.68, 11,347.97 and 7,120.26

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Solution

The fourth proportional to 8,239.68, 11,347.97 and 7,120.26 is: 9,806.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,239.68 : 11,347.97 = 7,120.26 : x
  2. Step 2: Convert to fraction form
    8,239.68/11,347.97 = 7,120.26/x
  3. Step 3: Cross multiply
    8,239.68x = 11,347.97 × 7,120.26
  4. Step 4: Simplify right side
    8,239.68x = 80,800,461.27
  5. Step 5: Solve for x
    x = 80,800,461.27/8,239.68
  6. Step 6: Final answer
    x = 9,806.26

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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.