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Finding the Fourth Proportional to 8,190.83, 12,265.05 and 6,871.39

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Solution

The fourth proportional to 8,190.83, 12,265.05 and 6,871.39 is: 10,289.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,190.83 : 12,265.05 = 6,871.39 : x
  2. Step 2: Convert to fraction form
    8,190.83/12,265.05 = 6,871.39/x
  3. Step 3: Cross multiply
    8,190.83x = 12,265.05 × 6,871.39
  4. Step 4: Simplify right side
    8,190.83x = 84,277,941.92
  5. Step 5: Solve for x
    x = 84,277,941.92/8,190.83
  6. Step 6: Final answer
    x = 10,289.30

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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.