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Finding the Fourth Proportional to 11,889.27, 16,407.54 and 6,583.97

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Solution

The fourth proportional to 11,889.27, 16,407.54 and 6,583.97 is: 9,086.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,889.27 : 16,407.54 = 6,583.97 : x
  2. Step 2: Convert to fraction form
    11,889.27/16,407.54 = 6,583.97/x
  3. Step 3: Cross multiply
    11,889.27x = 16,407.54 × 6,583.97
  4. Step 4: Simplify right side
    11,889.27x = 108,026,755.31
  5. Step 5: Solve for x
    x = 108,026,755.31/11,889.27
  6. Step 6: Final answer
    x = 9,086.07

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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.