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Finding the Fourth Proportional to 11,771.72, 17,660.12 and 3,980.36

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Solution

The fourth proportional to 11,771.72, 17,660.12 and 3,980.36 is: 5,971.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,771.72 : 17,660.12 = 3,980.36 : x
  2. Step 2: Convert to fraction form
    11,771.72/17,660.12 = 3,980.36/x
  3. Step 3: Cross multiply
    11,771.72x = 17,660.12 × 3,980.36
  4. Step 4: Simplify right side
    11,771.72x = 70,293,635.24
  5. Step 5: Solve for x
    x = 70,293,635.24/11,771.72
  6. Step 6: Final answer
    x = 5,971.40

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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.