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Finding the Fourth Proportional to 11,825.26, 17,738.26 and 4,428.31

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Solution

The fourth proportional to 11,825.26, 17,738.26 and 4,428.31 is: 6,642.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,825.26 : 17,738.26 = 4,428.31 : x
  2. Step 2: Convert to fraction form
    11,825.26/17,738.26 = 4,428.31/x
  3. Step 3: Cross multiply
    11,825.26x = 17,738.26 × 4,428.31
  4. Step 4: Simplify right side
    11,825.26x = 78,550,514.14
  5. Step 5: Solve for x
    x = 78,550,514.14/11,825.26
  6. Step 6: Final answer
    x = 6,642.60

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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.