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Finding the Fourth Proportional to 11,571.43, 15,968.59 and 6,266.25

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Solution

The fourth proportional to 11,571.43, 15,968.59 and 6,266.25 is: 8,647.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,571.43 : 15,968.59 = 6,266.25 : x
  2. Step 2: Convert to fraction form
    11,571.43/15,968.59 = 6,266.25/x
  3. Step 3: Cross multiply
    11,571.43x = 15,968.59 × 6,266.25
  4. Step 4: Simplify right side
    11,571.43x = 100,063,174.21
  5. Step 5: Solve for x
    x = 100,063,174.21/11,571.43
  6. Step 6: Final answer
    x = 8,647.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.