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Finding the Fourth Proportional to 8,832.75, 13,254.30 and 3,289.96

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Solution

The fourth proportional to 8,832.75, 13,254.30 and 3,289.96 is: 4,936.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,832.75 : 13,254.30 = 3,289.96 : x
  2. Step 2: Convert to fraction form
    8,832.75/13,254.30 = 3,289.96/x
  3. Step 3: Cross multiply
    8,832.75x = 13,254.30 × 3,289.96
  4. Step 4: Simplify right side
    8,832.75x = 43,606,116.83
  5. Step 5: Solve for x
    x = 43,606,116.83/8,832.75
  6. Step 6: Final answer
    x = 4,936.87

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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.