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Finding the Fourth Proportional to 11,042.50, 16,563.76 and 2,834.50

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Solution

The fourth proportional to 11,042.50, 16,563.76 and 2,834.50 is: 4,251.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,042.50 : 16,563.76 = 2,834.50 : x
  2. Step 2: Convert to fraction form
    11,042.50/16,563.76 = 2,834.50/x
  3. Step 3: Cross multiply
    11,042.50x = 16,563.76 × 2,834.50
  4. Step 4: Simplify right side
    11,042.50x = 46,949,977.72
  5. Step 5: Solve for x
    x = 46,949,977.72/11,042.50
  6. Step 6: Final answer
    x = 4,251.75

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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.