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Finding the Fourth Proportional to 10,672.44, 16,013.46 and 6,775.80

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Solution

The fourth proportional to 10,672.44, 16,013.46 and 6,775.80 is: 10,166.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,672.44 : 16,013.46 = 6,775.80 : x
  2. Step 2: Convert to fraction form
    10,672.44/16,013.46 = 6,775.80/x
  3. Step 3: Cross multiply
    10,672.44x = 16,013.46 × 6,775.80
  4. Step 4: Simplify right side
    10,672.44x = 108,504,002.27
  5. Step 5: Solve for x
    x = 108,504,002.27/10,672.44
  6. Step 6: Final answer
    x = 10,166.75

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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.