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Finding the Fourth Proportional to 8,209.82, 11,296.72 and 7,980.18

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Solution

The fourth proportional to 8,209.82, 11,296.72 and 7,980.18 is: 10,980.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,209.82 : 11,296.72 = 7,980.18 : x
  2. Step 2: Convert to fraction form
    8,209.82/11,296.72 = 7,980.18/x
  3. Step 3: Cross multiply
    8,209.82x = 11,296.72 × 7,980.18
  4. Step 4: Simplify right side
    8,209.82x = 90,149,859.01
  5. Step 5: Solve for x
    x = 90,149,859.01/8,209.82
  6. Step 6: Final answer
    x = 10,980.74

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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.