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Finding the Fourth Proportional to 11,768.66, 17,647.88 and 3,448.51

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Solution

The fourth proportional to 11,768.66, 17,647.88 and 3,448.51 is: 5,171.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,768.66 : 17,647.88 = 3,448.51 : x
  2. Step 2: Convert to fraction form
    11,768.66/17,647.88 = 3,448.51/x
  3. Step 3: Cross multiply
    11,768.66x = 17,647.88 × 3,448.51
  4. Step 4: Simplify right side
    11,768.66x = 60,858,829.30
  5. Step 5: Solve for x
    x = 60,858,829.30/11,768.66
  6. Step 6: Final answer
    x = 5,171.26

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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.