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Finding the Fourth Proportional to 11,986.36, 17,968.50 and 5,057.08

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Solution

The fourth proportional to 11,986.36, 17,968.50 and 5,057.08 is: 7,580.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,986.36 : 17,968.50 = 5,057.08 : x
  2. Step 2: Convert to fraction form
    11,986.36/17,968.50 = 5,057.08/x
  3. Step 3: Cross multiply
    11,986.36x = 17,968.50 × 5,057.08
  4. Step 4: Simplify right side
    11,986.36x = 90,868,141.98
  5. Step 5: Solve for x
    x = 90,868,141.98/11,986.36
  6. Step 6: Final answer
    x = 7,580.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.