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Finding the Fourth Proportional to 8,494.31, 12,745.83 and 3,817.56

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Solution

The fourth proportional to 8,494.31, 12,745.83 and 3,817.56 is: 5,728.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,494.31 : 12,745.83 = 3,817.56 : x
  2. Step 2: Convert to fraction form
    8,494.31/12,745.83 = 3,817.56/x
  3. Step 3: Cross multiply
    8,494.31x = 12,745.83 × 3,817.56
  4. Step 4: Simplify right side
    8,494.31x = 48,657,970.77
  5. Step 5: Solve for x
    x = 48,657,970.77/8,494.31
  6. Step 6: Final answer
    x = 5,728.31

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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.