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Finding the Fourth Proportional to 8,234.00, 12,349.72 and 2,686.12

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Solution

The fourth proportional to 8,234.00, 12,349.72 and 2,686.12 is: 4,028.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,234.00 : 12,349.72 = 2,686.12 : x
  2. Step 2: Convert to fraction form
    8,234.00/12,349.72 = 2,686.12/x
  3. Step 3: Cross multiply
    8,234.00x = 12,349.72 × 2,686.12
  4. Step 4: Simplify right side
    8,234.00x = 33,172,812.94
  5. Step 5: Solve for x
    x = 33,172,812.94/8,234.00
  6. Step 6: Final answer
    x = 4,028.76

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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.