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Finding the Fourth Proportional to 11,760.64, 17,643.57 and 3,969.25

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Solution

The fourth proportional to 11,760.64, 17,643.57 and 3,969.25 is: 5,954.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,760.64 : 17,643.57 = 3,969.25 : x
  2. Step 2: Convert to fraction form
    11,760.64/17,643.57 = 3,969.25/x
  3. Step 3: Cross multiply
    11,760.64x = 17,643.57 × 3,969.25
  4. Step 4: Simplify right side
    11,760.64x = 70,031,740.22
  5. Step 5: Solve for x
    x = 70,031,740.22/11,760.64
  6. Step 6: Final answer
    x = 5,954.76

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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.