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Finding the Fourth Proportional to 8,127.42, 12,194.34 and 3,448.44

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Solution

The fourth proportional to 8,127.42, 12,194.34 and 3,448.44 is: 5,174.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,127.42 : 12,194.34 = 3,448.44 : x
  2. Step 2: Convert to fraction form
    8,127.42/12,194.34 = 3,448.44/x
  3. Step 3: Cross multiply
    8,127.42x = 12,194.34 × 3,448.44
  4. Step 4: Simplify right side
    8,127.42x = 42,051,449.83
  5. Step 5: Solve for x
    x = 42,051,449.83/8,127.42
  6. Step 6: Final answer
    x = 5,174.02

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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.