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Finding the Fourth Proportional to 6,993.90, 10,486.23 and 2,829.03

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Solution

The fourth proportional to 6,993.90, 10,486.23 and 2,829.03 is: 4,241.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,993.90 : 10,486.23 = 2,829.03 : x
  2. Step 2: Convert to fraction form
    6,993.90/10,486.23 = 2,829.03/x
  3. Step 3: Cross multiply
    6,993.90x = 10,486.23 × 2,829.03
  4. Step 4: Simplify right side
    6,993.90x = 29,665,819.93
  5. Step 5: Solve for x
    x = 29,665,819.93/6,993.90
  6. Step 6: Final answer
    x = 4,241.67

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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.