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Finding the Fourth Proportional to 8,136.40, 11,226.90 and 4,778.50

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Solution

The fourth proportional to 8,136.40, 11,226.90 and 4,778.50 is: 6,593.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,136.40 : 11,226.90 = 4,778.50 : x
  2. Step 2: Convert to fraction form
    8,136.40/11,226.90 = 4,778.50/x
  3. Step 3: Cross multiply
    8,136.40x = 11,226.90 × 4,778.50
  4. Step 4: Simplify right side
    8,136.40x = 53,647,741.65
  5. Step 5: Solve for x
    x = 53,647,741.65/8,136.40
  6. Step 6: Final answer
    x = 6,593.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.