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Finding the Fourth Proportional to 8,200.98, 11,309.58 and 5,518.26

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Solution

The fourth proportional to 8,200.98, 11,309.58 and 5,518.26 is: 7,609.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,200.98 : 11,309.58 = 5,518.26 : x
  2. Step 2: Convert to fraction form
    8,200.98/11,309.58 = 5,518.26/x
  3. Step 3: Cross multiply
    8,200.98x = 11,309.58 × 5,518.26
  4. Step 4: Simplify right side
    8,200.98x = 62,409,202.93
  5. Step 5: Solve for x
    x = 62,409,202.93/8,200.98
  6. Step 6: Final answer
    x = 7,609.97

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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.