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Finding the Fourth Proportional to 10,850.88, 16,278.69 and 6,173.09

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Solution

The fourth proportional to 10,850.88, 16,278.69 and 6,173.09 is: 9,260.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,850.88 : 16,278.69 = 6,173.09 : x
  2. Step 2: Convert to fraction form
    10,850.88/16,278.69 = 6,173.09/x
  3. Step 3: Cross multiply
    10,850.88x = 16,278.69 × 6,173.09
  4. Step 4: Simplify right side
    10,850.88x = 100,489,818.45
  5. Step 5: Solve for x
    x = 100,489,818.45/10,850.88
  6. Step 6: Final answer
    x = 9,260.98

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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.