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Finding the Fourth Proportional to 11,634.16, 17,451.34 and 3,314.16

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Solution

The fourth proportional to 11,634.16, 17,451.34 and 3,314.16 is: 4,971.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,634.16 : 17,451.34 = 3,314.16 : x
  2. Step 2: Convert to fraction form
    11,634.16/17,451.34 = 3,314.16/x
  3. Step 3: Cross multiply
    11,634.16x = 17,451.34 × 3,314.16
  4. Step 4: Simplify right side
    11,634.16x = 57,836,532.97
  5. Step 5: Solve for x
    x = 57,836,532.97/11,634.16
  6. Step 6: Final answer
    x = 4,971.27

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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.