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Finding the Fourth Proportional to 10,850.39, 16,249.31 and 7,509.28

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Solution

The fourth proportional to 10,850.39, 16,249.31 and 7,509.28 is: 11,245.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,850.39 : 16,249.31 = 7,509.28 : x
  2. Step 2: Convert to fraction form
    10,850.39/16,249.31 = 7,509.28/x
  3. Step 3: Cross multiply
    10,850.39x = 16,249.31 × 7,509.28
  4. Step 4: Simplify right side
    10,850.39x = 122,020,644.76
  5. Step 5: Solve for x
    x = 122,020,644.76/10,850.39
  6. Step 6: Final answer
    x = 11,245.74

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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.