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Finding the Fourth Proportional to 8,234.37, 12,349.73 and 2,686.25

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Solution

The fourth proportional to 8,234.37, 12,349.73 and 2,686.25 is: 4,028.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,234.37 : 12,349.73 = 2,686.25 : x
  2. Step 2: Convert to fraction form
    8,234.37/12,349.73 = 2,686.25/x
  3. Step 3: Cross multiply
    8,234.37x = 12,349.73 × 2,686.25
  4. Step 4: Simplify right side
    8,234.37x = 33,174,387.03
  5. Step 5: Solve for x
    x = 33,174,387.03/8,234.37
  6. Step 6: Final answer
    x = 4,028.77

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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.