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Finding the Fourth Proportional to 10,930.56, 16,394.00 and 3,033.88

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Solution

The fourth proportional to 10,930.56, 16,394.00 and 3,033.88 is: 4,550.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,930.56 : 16,394.00 = 3,033.88 : x
  2. Step 2: Convert to fraction form
    10,930.56/16,394.00 = 3,033.88/x
  3. Step 3: Cross multiply
    10,930.56x = 16,394.00 × 3,033.88
  4. Step 4: Simplify right side
    10,930.56x = 49,737,375.91
  5. Step 5: Solve for x
    x = 49,737,375.91/10,930.56
  6. Step 6: Final answer
    x = 4,550.31

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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.