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Finding the Fourth Proportional to 8,032.36, 12,043.99 and 3,644.39

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Solution

The fourth proportional to 8,032.36, 12,043.99 and 3,644.39 is: 5,464.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,032.36 : 12,043.99 = 3,644.39 : x
  2. Step 2: Convert to fraction form
    8,032.36/12,043.99 = 3,644.39/x
  3. Step 3: Cross multiply
    8,032.36x = 12,043.99 × 3,644.39
  4. Step 4: Simplify right side
    8,032.36x = 43,892,996.72
  5. Step 5: Solve for x
    x = 43,892,996.72/8,032.36
  6. Step 6: Final answer
    x = 5,464.52

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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.