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Finding the Fourth Proportional to 11,211.40, 16,817.10 and 3,816.10

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Solution

The fourth proportional to 11,211.40, 16,817.10 and 3,816.10 is: 5,724.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,211.40 : 16,817.10 = 3,816.10 : x
  2. Step 2: Convert to fraction form
    11,211.40/16,817.10 = 3,816.10/x
  3. Step 3: Cross multiply
    11,211.40x = 16,817.10 × 3,816.10
  4. Step 4: Simplify right side
    11,211.40x = 64,175,735.31
  5. Step 5: Solve for x
    x = 64,175,735.31/11,211.40
  6. Step 6: Final answer
    x = 5,724.15

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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.