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Finding the Fourth Proportional to 11,968.19, 17,952.28 and 3,202.87

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Solution

The fourth proportional to 11,968.19, 17,952.28 and 3,202.87 is: 4,804.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,968.19 : 17,952.28 = 3,202.87 : x
  2. Step 2: Convert to fraction form
    11,968.19/17,952.28 = 3,202.87/x
  3. Step 3: Cross multiply
    11,968.19x = 17,952.28 × 3,202.87
  4. Step 4: Simplify right side
    11,968.19x = 57,498,803.03
  5. Step 5: Solve for x
    x = 57,498,803.03/11,968.19
  6. Step 6: Final answer
    x = 4,804.30

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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.