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Finding the Fourth Proportional to 8,131.78, 12,197.40 and 3,448.78

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Solution

The fourth proportional to 8,131.78, 12,197.40 and 3,448.78 is: 5,173.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,131.78 : 12,197.40 = 3,448.78 : x
  2. Step 2: Convert to fraction form
    8,131.78/12,197.40 = 3,448.78/x
  3. Step 3: Cross multiply
    8,131.78x = 12,197.40 × 3,448.78
  4. Step 4: Simplify right side
    8,131.78x = 42,066,149.17
  5. Step 5: Solve for x
    x = 42,066,149.17/8,131.78
  6. Step 6: Final answer
    x = 5,173.06

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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.