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Finding the Fourth Proportional to 11,685.70, 16,126.50 and 6,380.98

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Solution

The fourth proportional to 11,685.70, 16,126.50 and 6,380.98 is: 8,805.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,685.70 : 16,126.50 = 6,380.98 : x
  2. Step 2: Convert to fraction form
    11,685.70/16,126.50 = 6,380.98/x
  3. Step 3: Cross multiply
    11,685.70x = 16,126.50 × 6,380.98
  4. Step 4: Simplify right side
    11,685.70x = 102,902,873.97
  5. Step 5: Solve for x
    x = 102,902,873.97/11,685.70
  6. Step 6: Final answer
    x = 8,805.88

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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.