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Finding the Fourth Proportional to 11,606.52, 16,010.96 and 7,131.27

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Solution

The fourth proportional to 11,606.52, 16,010.96 and 7,131.27 is: 9,837.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,606.52 : 16,010.96 = 7,131.27 : x
  2. Step 2: Convert to fraction form
    11,606.52/16,010.96 = 7,131.27/x
  3. Step 3: Cross multiply
    11,606.52x = 16,010.96 × 7,131.27
  4. Step 4: Simplify right side
    11,606.52x = 114,178,443.06
  5. Step 5: Solve for x
    x = 114,178,443.06/11,606.52
  6. Step 6: Final answer
    x = 9,837.44

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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.