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Finding the Fourth Proportional to 10,846.14, 16,249.98 and 7,552.82

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Solution

The fourth proportional to 10,846.14, 16,249.98 and 7,552.82 is: 11,315.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,846.14 : 16,249.98 = 7,552.82 : x
  2. Step 2: Convert to fraction form
    10,846.14/16,249.98 = 7,552.82/x
  3. Step 3: Cross multiply
    10,846.14x = 16,249.98 × 7,552.82
  4. Step 4: Simplify right side
    10,846.14x = 122,733,173.94
  5. Step 5: Solve for x
    x = 122,733,173.94/10,846.14
  6. Step 6: Final answer
    x = 11,315.84

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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.