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Finding the Fourth Proportional to 8,644.68, 11,924.82 and 5,845.32

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Solution

The fourth proportional to 8,644.68, 11,924.82 and 5,845.32 is: 8,063.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,644.68 : 11,924.82 = 5,845.32 : x
  2. Step 2: Convert to fraction form
    8,644.68/11,924.82 = 5,845.32/x
  3. Step 3: Cross multiply
    8,644.68x = 11,924.82 × 5,845.32
  4. Step 4: Simplify right side
    8,644.68x = 69,704,388.84
  5. Step 5: Solve for x
    x = 69,704,388.84/8,644.68
  6. Step 6: Final answer
    x = 8,063.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.