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Finding the Fourth Proportional to 11,136.94, 16,705.42 and 4,211.44

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Solution

The fourth proportional to 11,136.94, 16,705.42 and 4,211.44 is: 6,317.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,136.94 : 16,705.42 = 4,211.44 : x
  2. Step 2: Convert to fraction form
    11,136.94/16,705.42 = 4,211.44/x
  3. Step 3: Cross multiply
    11,136.94x = 16,705.42 × 4,211.44
  4. Step 4: Simplify right side
    11,136.94x = 70,353,821.71
  5. Step 5: Solve for x
    x = 70,353,821.71/11,136.94
  6. Step 6: Final answer
    x = 6,317.16

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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.