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Finding the Fourth Proportional to 10,375.75, 15,563.76 and 3,450.25

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Solution

The fourth proportional to 10,375.75, 15,563.76 and 3,450.25 is: 5,175.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,375.75 : 15,563.76 = 3,450.25 : x
  2. Step 2: Convert to fraction form
    10,375.75/15,563.76 = 3,450.25/x
  3. Step 3: Cross multiply
    10,375.75x = 15,563.76 × 3,450.25
  4. Step 4: Simplify right side
    10,375.75x = 53,698,862.94
  5. Step 5: Solve for x
    x = 53,698,862.94/10,375.75
  6. Step 6: Final answer
    x = 5,175.42

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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.