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Finding the Fourth Proportional to 10,890.94, 16,339.14 and 3,099.75

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Solution

The fourth proportional to 10,890.94, 16,339.14 and 3,099.75 is: 4,650.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,890.94 : 16,339.14 = 3,099.75 : x
  2. Step 2: Convert to fraction form
    10,890.94/16,339.14 = 3,099.75/x
  3. Step 3: Cross multiply
    10,890.94x = 16,339.14 × 3,099.75
  4. Step 4: Simplify right side
    10,890.94x = 50,647,249.22
  5. Step 5: Solve for x
    x = 50,647,249.22/10,890.94
  6. Step 6: Final answer
    x = 4,650.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.