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Finding the Fourth Proportional to 11,665.73, 16,090.49 and 7,188.05

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Solution

The fourth proportional to 11,665.73, 16,090.49 and 7,188.05 is: 9,914.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,665.73 : 16,090.49 = 7,188.05 : x
  2. Step 2: Convert to fraction form
    11,665.73/16,090.49 = 7,188.05/x
  3. Step 3: Cross multiply
    11,665.73x = 16,090.49 × 7,188.05
  4. Step 4: Simplify right side
    11,665.73x = 115,659,130.25
  5. Step 5: Solve for x
    x = 115,659,130.25/11,665.73
  6. Step 6: Final answer
    x = 9,914.44

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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.