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Finding the Fourth Proportional to 6,136.80, 8,474.40 and 4,467.84

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Solution

The fourth proportional to 6,136.80, 8,474.40 and 4,467.84 is: 6,169.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,136.80 : 8,474.40 = 4,467.84 : x
  2. Step 2: Convert to fraction form
    6,136.80/8,474.40 = 4,467.84/x
  3. Step 3: Cross multiply
    6,136.80x = 8,474.40 × 4,467.84
  4. Step 4: Simplify right side
    6,136.80x = 37,862,263.30
  5. Step 5: Solve for x
    x = 37,862,263.30/6,136.80
  6. Step 6: Final answer
    x = 6,169.71

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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.