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Finding the Fourth Proportional to 8,119.44, 12,170.52 and 3,438.48

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Solution

The fourth proportional to 8,119.44, 12,170.52 and 3,438.48 is: 5,154.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,119.44 : 12,170.52 = 3,438.48 : x
  2. Step 2: Convert to fraction form
    8,119.44/12,170.52 = 3,438.48/x
  3. Step 3: Cross multiply
    8,119.44x = 12,170.52 × 3,438.48
  4. Step 4: Simplify right side
    8,119.44x = 41,848,089.61
  5. Step 5: Solve for x
    x = 41,848,089.61/8,119.44
  6. Step 6: Final answer
    x = 5,154.06

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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.