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Finding the Fourth Proportional to 10,375.25, 15,563.01 and 3,449.75

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Solution

The fourth proportional to 10,375.25, 15,563.01 and 3,449.75 is: 5,174.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,375.25 : 15,563.01 = 3,449.75 : x
  2. Step 2: Convert to fraction form
    10,375.25/15,563.01 = 3,449.75/x
  3. Step 3: Cross multiply
    10,375.25x = 15,563.01 × 3,449.75
  4. Step 4: Simplify right side
    10,375.25x = 53,688,493.75
  5. Step 5: Solve for x
    x = 53,688,493.75/10,375.25
  6. Step 6: Final answer
    x = 5,174.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.