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Finding the Fourth Proportional to 11,509.56, 15,889.97 and 10,845.27

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Solution

The fourth proportional to 11,509.56, 15,889.97 and 10,845.27 is: 14,972.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,509.56 : 15,889.97 = 10,845.27 : x
  2. Step 2: Convert to fraction form
    11,509.56/15,889.97 = 10,845.27/x
  3. Step 3: Cross multiply
    11,509.56x = 15,889.97 × 10,845.27
  4. Step 4: Simplify right side
    11,509.56x = 172,331,042.06
  5. Step 5: Solve for x
    x = 172,331,042.06/11,509.56
  6. Step 6: Final answer
    x = 14,972.86

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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.