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Finding the Fourth Proportional to 8,143.70, 12,231.93 and 4,863.20

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Solution

The fourth proportional to 8,143.70, 12,231.93 and 4,863.20 is: 7,304.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,143.70 : 12,231.93 = 4,863.20 : x
  2. Step 2: Convert to fraction form
    8,143.70/12,231.93 = 4,863.20/x
  3. Step 3: Cross multiply
    8,143.70x = 12,231.93 × 4,863.20
  4. Step 4: Simplify right side
    8,143.70x = 59,486,321.98
  5. Step 5: Solve for x
    x = 59,486,321.98/8,143.70
  6. Step 6: Final answer
    x = 7,304.58

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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.