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Finding the Fourth Proportional to 6,899.22, 10,344.22 and 2,738.12

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Solution

The fourth proportional to 6,899.22, 10,344.22 and 2,738.12 is: 4,105.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,899.22 : 10,344.22 = 2,738.12 : x
  2. Step 2: Convert to fraction form
    6,899.22/10,344.22 = 2,738.12/x
  3. Step 3: Cross multiply
    6,899.22x = 10,344.22 × 2,738.12
  4. Step 4: Simplify right side
    6,899.22x = 28,323,663.95
  5. Step 5: Solve for x
    x = 28,323,663.95/6,899.22
  6. Step 6: Final answer
    x = 4,105.34

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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.