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Finding the Fourth Proportional to 11,571.14, 15,968.25 and 6,266

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Solution

The fourth proportional to 11,571.14, 15,968.25 and 6,266 is: 8,647.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,571.14 : 15,968.25 = 6,266 : x
  2. Step 2: Convert to fraction form
    11,571.14/15,968.25 = 6,266/x
  3. Step 3: Cross multiply
    11,571.14x = 15,968.25 × 6,266
  4. Step 4: Simplify right side
    11,571.14x = 100,057,054.50
  5. Step 5: Solve for x
    x = 100,057,054.50/11,571.14
  6. Step 6: Final answer
    x = 8,647.12

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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.