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Finding the Fourth Proportional to 8,102.30, 12,143.90 and 3,654.76

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Solution

The fourth proportional to 8,102.30, 12,143.90 and 3,654.76 is: 5,477.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,102.30 : 12,143.90 = 3,654.76 : x
  2. Step 2: Convert to fraction form
    8,102.30/12,143.90 = 3,654.76/x
  3. Step 3: Cross multiply
    8,102.30x = 12,143.90 × 3,654.76
  4. Step 4: Simplify right side
    8,102.30x = 44,383,021.69
  5. Step 5: Solve for x
    x = 44,383,021.69/8,102.30
  6. Step 6: Final answer
    x = 5,477.83

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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.