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Finding the Fourth Proportional to 11,150.30, 16,725.41 and 2,830.30

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Solution

The fourth proportional to 11,150.30, 16,725.41 and 2,830.30 is: 4,245.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,150.30 : 16,725.41 = 2,830.30 : x
  2. Step 2: Convert to fraction form
    11,150.30/16,725.41 = 2,830.30/x
  3. Step 3: Cross multiply
    11,150.30x = 16,725.41 × 2,830.30
  4. Step 4: Simplify right side
    11,150.30x = 47,337,927.92
  5. Step 5: Solve for x
    x = 47,337,927.92/11,150.30
  6. Step 6: Final answer
    x = 4,245.44

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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.