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Finding the Fourth Proportional to 11,760.39, 17,643.02 and 3,969

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Solution

The fourth proportional to 11,760.39, 17,643.02 and 3,969 is: 5,954.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,760.39 : 17,643.02 = 3,969 : x
  2. Step 2: Convert to fraction form
    11,760.39/17,643.02 = 3,969/x
  3. Step 3: Cross multiply
    11,760.39x = 17,643.02 × 3,969
  4. Step 4: Simplify right side
    11,760.39x = 70,025,126.54
  5. Step 5: Solve for x
    x = 70,025,126.54/11,760.39
  6. Step 6: Final answer
    x = 5,954.32

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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.