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Finding the Fourth Proportional to 11,999.28, 16,561 and 8,864.56

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Solution

The fourth proportional to 11,999.28, 16,561 and 8,864.56 is: 12,234.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,999.28 : 16,561 = 8,864.56 : x
  2. Step 2: Convert to fraction form
    11,999.28/16,561 = 8,864.56/x
  3. Step 3: Cross multiply
    11,999.28x = 16,561 × 8,864.56
  4. Step 4: Simplify right side
    11,999.28x = 146,805,978.16
  5. Step 5: Solve for x
    x = 146,805,978.16/11,999.28
  6. Step 6: Final answer
    x = 12,234.57

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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.