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Finding the Fourth Proportional to 8,344.98, 12,517.44 and 2,105.01

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Solution

The fourth proportional to 8,344.98, 12,517.44 and 2,105.01 is: 3,157.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,344.98 : 12,517.44 = 2,105.01 : x
  2. Step 2: Convert to fraction form
    8,344.98/12,517.44 = 2,105.01/x
  3. Step 3: Cross multiply
    8,344.98x = 12,517.44 × 2,105.01
  4. Step 4: Simplify right side
    8,344.98x = 26,349,336.37
  5. Step 5: Solve for x
    x = 26,349,336.37/8,344.98
  6. Step 6: Final answer
    x = 3,157.51

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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.