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Finding the Fourth Proportional to 8,170.98, 12,261.14 and 6,800.92

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Solution

The fourth proportional to 8,170.98, 12,261.14 and 6,800.92 is: 10,205.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,170.98 : 12,261.14 = 6,800.92 : x
  2. Step 2: Convert to fraction form
    8,170.98/12,261.14 = 6,800.92/x
  3. Step 3: Cross multiply
    8,170.98x = 12,261.14 × 6,800.92
  4. Step 4: Simplify right side
    8,170.98x = 83,387,032.25
  5. Step 5: Solve for x
    x = 83,387,032.25/8,170.98
  6. Step 6: Final answer
    x = 10,205.27

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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.