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Finding the Fourth Proportional to 11,954.37, 16,497.56 and 6,918.83

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Solution

The fourth proportional to 11,954.37, 16,497.56 and 6,918.83 is: 9,548.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,954.37 : 16,497.56 = 6,918.83 : x
  2. Step 2: Convert to fraction form
    11,954.37/16,497.56 = 6,918.83/x
  3. Step 3: Cross multiply
    11,954.37x = 16,497.56 × 6,918.83
  4. Step 4: Simplify right side
    11,954.37x = 114,143,813.05
  5. Step 5: Solve for x
    x = 114,143,813.05/11,954.37
  6. Step 6: Final answer
    x = 9,548.29

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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.