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Finding the Fourth Proportional to 11,021.84, 16,532.84 and 3,626.80

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Solution

The fourth proportional to 11,021.84, 16,532.84 and 3,626.80 is: 5,440.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,021.84 : 16,532.84 = 3,626.80 : x
  2. Step 2: Convert to fraction form
    11,021.84/16,532.84 = 3,626.80/x
  3. Step 3: Cross multiply
    11,021.84x = 16,532.84 × 3,626.80
  4. Step 4: Simplify right side
    11,021.84x = 59,961,304.11
  5. Step 5: Solve for x
    x = 59,961,304.11/11,021.84
  6. Step 6: Final answer
    x = 5,440.23

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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.