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Finding the Fourth Proportional to 11,735.31, 16,194.89 and 7,018.68

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Solution

The fourth proportional to 11,735.31, 16,194.89 and 7,018.68 is: 9,685.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,735.31 : 16,194.89 = 7,018.68 : x
  2. Step 2: Convert to fraction form
    11,735.31/16,194.89 = 7,018.68/x
  3. Step 3: Cross multiply
    11,735.31x = 16,194.89 × 7,018.68
  4. Step 4: Simplify right side
    11,735.31x = 113,666,634.48
  5. Step 5: Solve for x
    x = 113,666,634.48/11,735.31
  6. Step 6: Final answer
    x = 9,685.87

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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.