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Finding the Fourth Proportional to 11,629.40, 17,444.02 and 3,838.84

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Solution

The fourth proportional to 11,629.40, 17,444.02 and 3,838.84 is: 5,758.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,629.40 : 17,444.02 = 3,838.84 : x
  2. Step 2: Convert to fraction form
    11,629.40/17,444.02 = 3,838.84/x
  3. Step 3: Cross multiply
    11,629.40x = 17,444.02 × 3,838.84
  4. Step 4: Simplify right side
    11,629.40x = 66,964,801.74
  5. Step 5: Solve for x
    x = 66,964,801.74/11,629.40
  6. Step 6: Final answer
    x = 5,758.23

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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.