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Finding the Fourth Proportional to 6,911.01, 10,367.55 and 3,213.63

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Solution

The fourth proportional to 6,911.01, 10,367.55 and 3,213.63 is: 4,820.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,911.01 : 10,367.55 = 3,213.63 : x
  2. Step 2: Convert to fraction form
    6,911.01/10,367.55 = 3,213.63/x
  3. Step 3: Cross multiply
    6,911.01x = 10,367.55 × 3,213.63
  4. Step 4: Simplify right side
    6,911.01x = 33,317,469.71
  5. Step 5: Solve for x
    x = 33,317,469.71/6,911.01
  6. Step 6: Final answer
    x = 4,820.93

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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.