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Finding the Fourth Proportional to 10,873.98, 16,310.46 and 3,853.88

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Solution

The fourth proportional to 10,873.98, 16,310.46 and 3,853.88 is: 5,780.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,873.98 : 16,310.46 = 3,853.88 : x
  2. Step 2: Convert to fraction form
    10,873.98/16,310.46 = 3,853.88/x
  3. Step 3: Cross multiply
    10,873.98x = 16,310.46 × 3,853.88
  4. Step 4: Simplify right side
    10,873.98x = 62,858,596.36
  5. Step 5: Solve for x
    x = 62,858,596.36/10,873.98
  6. Step 6: Final answer
    x = 5,780.64

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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.