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Finding the Fourth Proportional to 11,136.33, 16,705.01 and 6,202.26

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Solution

The fourth proportional to 11,136.33, 16,705.01 and 6,202.26 is: 9,303.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,136.33 : 16,705.01 = 6,202.26 : x
  2. Step 2: Convert to fraction form
    11,136.33/16,705.01 = 6,202.26/x
  3. Step 3: Cross multiply
    11,136.33x = 16,705.01 × 6,202.26
  4. Step 4: Simplify right side
    11,136.33x = 103,608,784.31
  5. Step 5: Solve for x
    x = 103,608,784.31/11,136.33
  6. Step 6: Final answer
    x = 9,303.67

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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.