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Finding the Fourth Proportional to 11,648.35, 17,473.43 and 3,857.16

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Solution

The fourth proportional to 11,648.35, 17,473.43 and 3,857.16 is: 5,786.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,648.35 : 17,473.43 = 3,857.16 : x
  2. Step 2: Convert to fraction form
    11,648.35/17,473.43 = 3,857.16/x
  3. Step 3: Cross multiply
    11,648.35x = 17,473.43 × 3,857.16
  4. Step 4: Simplify right side
    11,648.35x = 67,397,815.26
  5. Step 5: Solve for x
    x = 67,397,815.26/11,648.35
  6. Step 6: Final answer
    x = 5,786.04

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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.