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Finding the Fourth Proportional to 8,143.73, 12,214.54 and 3,462.87

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Solution

The fourth proportional to 8,143.73, 12,214.54 and 3,462.87 is: 5,193.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,143.73 : 12,214.54 = 3,462.87 : x
  2. Step 2: Convert to fraction form
    8,143.73/12,214.54 = 3,462.87/x
  3. Step 3: Cross multiply
    8,143.73x = 12,214.54 × 3,462.87
  4. Step 4: Simplify right side
    8,143.73x = 42,297,364.13
  5. Step 5: Solve for x
    x = 42,297,364.13/8,143.73
  6. Step 6: Final answer
    x = 5,193.86

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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.