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Finding the Fourth Proportional to 11,838.21, 17,756.46 and 3,072.84

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Solution

The fourth proportional to 11,838.21, 17,756.46 and 3,072.84 is: 4,609.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,838.21 : 17,756.46 = 3,072.84 : x
  2. Step 2: Convert to fraction form
    11,838.21/17,756.46 = 3,072.84/x
  3. Step 3: Cross multiply
    11,838.21x = 17,756.46 × 3,072.84
  4. Step 4: Simplify right side
    11,838.21x = 54,562,760.55
  5. Step 5: Solve for x
    x = 54,562,760.55/11,838.21
  6. Step 6: Final answer
    x = 4,609.04

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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.