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Finding the Fourth Proportional to 11,975.65, 17,961.04 and 3,208.51

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Solution

The fourth proportional to 11,975.65, 17,961.04 and 3,208.51 is: 4,812.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,975.65 : 17,961.04 = 3,208.51 : x
  2. Step 2: Convert to fraction form
    11,975.65/17,961.04 = 3,208.51/x
  3. Step 3: Cross multiply
    11,975.65x = 17,961.04 × 3,208.51
  4. Step 4: Simplify right side
    11,975.65x = 57,628,202.91
  5. Step 5: Solve for x
    x = 57,628,202.91/11,975.65
  6. Step 6: Final answer
    x = 4,812.12

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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.