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Finding the Fourth Proportional to 11,744.64, 17,629.25 and 6,196.48

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Solution

The fourth proportional to 11,744.64, 17,629.25 and 6,196.48 is: 9,301.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,744.64 : 17,629.25 = 6,196.48 : x
  2. Step 2: Convert to fraction form
    11,744.64/17,629.25 = 6,196.48/x
  3. Step 3: Cross multiply
    11,744.64x = 17,629.25 × 6,196.48
  4. Step 4: Simplify right side
    11,744.64x = 109,239,295.04
  5. Step 5: Solve for x
    x = 109,239,295.04/11,744.64
  6. Step 6: Final answer
    x = 9,301.20

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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.