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Finding the Fourth Proportional to 11,758.16, 17,638.26 and 3,858.30

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Solution

The fourth proportional to 11,758.16, 17,638.26 and 3,858.30 is: 5,787.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,758.16 : 17,638.26 = 3,858.30 : x
  2. Step 2: Convert to fraction form
    11,758.16/17,638.26 = 3,858.30/x
  3. Step 3: Cross multiply
    11,758.16x = 17,638.26 × 3,858.30
  4. Step 4: Simplify right side
    11,758.16x = 68,053,698.56
  5. Step 5: Solve for x
    x = 68,053,698.56/11,758.16
  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.