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Finding the Fourth Proportional to 8,198.31, 11,293.90 and 6,519.18

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Solution

The fourth proportional to 8,198.31, 11,293.90 and 6,519.18 is: 8,980.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,198.31 : 11,293.90 = 6,519.18 : x
  2. Step 2: Convert to fraction form
    8,198.31/11,293.90 = 6,519.18/x
  3. Step 3: Cross multiply
    8,198.31x = 11,293.90 × 6,519.18
  4. Step 4: Simplify right side
    8,198.31x = 73,626,967.00
  5. Step 5: Solve for x
    x = 73,626,967.00/8,198.31
  6. Step 6: Final answer
    x = 8,980.75

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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.