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Finding the Fourth Proportional to 8,130.42, 12,198.84 and 3,451.44

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Solution

The fourth proportional to 8,130.42, 12,198.84 and 3,451.44 is: 5,178.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,130.42 : 12,198.84 = 3,451.44 : x
  2. Step 2: Convert to fraction form
    8,130.42/12,198.84 = 3,451.44/x
  3. Step 3: Cross multiply
    8,130.42x = 12,198.84 × 3,451.44
  4. Step 4: Simplify right side
    8,130.42x = 42,103,564.33
  5. Step 5: Solve for x
    x = 42,103,564.33/8,130.42
  6. Step 6: Final answer
    x = 5,178.52

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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.