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Finding the Fourth Proportional to 8,189.06, 12,293.87 and 6,819.17

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Solution

The fourth proportional to 8,189.06, 12,293.87 and 6,819.17 is: 10,237.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,189.06 : 12,293.87 = 6,819.17 : x
  2. Step 2: Convert to fraction form
    8,189.06/12,293.87 = 6,819.17/x
  3. Step 3: Cross multiply
    8,189.06x = 12,293.87 × 6,819.17
  4. Step 4: Simplify right side
    8,189.06x = 83,833,893.92
  5. Step 5: Solve for x
    x = 83,833,893.92/8,189.06
  6. Step 6: Final answer
    x = 10,237.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.