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Finding the Fourth Proportional to 11,673.36, 16,096.46 and 7,889.97

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Solution

The fourth proportional to 11,673.36, 16,096.46 and 7,889.97 is: 10,879.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,673.36 : 16,096.46 = 7,889.97 : x
  2. Step 2: Convert to fraction form
    11,673.36/16,096.46 = 7,889.97/x
  3. Step 3: Cross multiply
    11,673.36x = 16,096.46 × 7,889.97
  4. Step 4: Simplify right side
    11,673.36x = 127,000,586.51
  5. Step 5: Solve for x
    x = 127,000,586.51/11,673.36
  6. Step 6: Final answer
    x = 10,879.52

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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.