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Finding the Fourth Proportional to 10,441.80, 15,662.70 and 3,872.70

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Solution

The fourth proportional to 10,441.80, 15,662.70 and 3,872.70 is: 5,809.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,441.80 : 15,662.70 = 3,872.70 : x
  2. Step 2: Convert to fraction form
    10,441.80/15,662.70 = 3,872.70/x
  3. Step 3: Cross multiply
    10,441.80x = 15,662.70 × 3,872.70
  4. Step 4: Simplify right side
    10,441.80x = 60,656,938.29
  5. Step 5: Solve for x
    x = 60,656,938.29/10,441.80
  6. Step 6: Final answer
    x = 5,809.05

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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.