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Finding the Fourth Proportional to 8,422.97, 11,620.13 and 6,180.98

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Solution

The fourth proportional to 8,422.97, 11,620.13 and 6,180.98 is: 8,527.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,422.97 : 11,620.13 = 6,180.98 : x
  2. Step 2: Convert to fraction form
    8,422.97/11,620.13 = 6,180.98/x
  3. Step 3: Cross multiply
    8,422.97x = 11,620.13 × 6,180.98
  4. Step 4: Simplify right side
    8,422.97x = 71,823,702.12
  5. Step 5: Solve for x
    x = 71,823,702.12/8,422.97
  6. Step 6: Final answer
    x = 8,527.13

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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.