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Finding the Fourth Proportional to 11,971.64, 17,960.21 and 3,651.81

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Solution

The fourth proportional to 11,971.64, 17,960.21 and 3,651.81 is: 5,478.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,971.64 : 17,960.21 = 3,651.81 : x
  2. Step 2: Convert to fraction form
    11,971.64/17,960.21 = 3,651.81/x
  3. Step 3: Cross multiply
    11,971.64x = 17,960.21 × 3,651.81
  4. Step 4: Simplify right side
    11,971.64x = 65,587,256.22
  5. Step 5: Solve for x
    x = 65,587,256.22/11,971.64
  6. Step 6: Final answer
    x = 5,478.55

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Why These Related Problems?

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