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Finding the Fourth Proportional to 11,649.64, 17,474.46 and 3,858.52

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Solution

The fourth proportional to 11,649.64, 17,474.46 and 3,858.52 is: 5,787.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,649.64 : 17,474.46 = 3,858.52 : x
  2. Step 2: Convert to fraction form
    11,649.64/17,474.46 = 3,858.52/x
  3. Step 3: Cross multiply
    11,649.64x = 17,474.46 × 3,858.52
  4. Step 4: Simplify right side
    11,649.64x = 67,425,553.40
  5. Step 5: Solve for x
    x = 67,425,553.40/11,649.64
  6. Step 6: Final answer
    x = 5,787.78

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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.