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Finding the Fourth Proportional to 6,908.21, 10,364.88 and 4,136.83

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Solution

The fourth proportional to 6,908.21, 10,364.88 and 4,136.83 is: 6,206.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,908.21 : 10,364.88 = 4,136.83 : x
  2. Step 2: Convert to fraction form
    6,908.21/10,364.88 = 4,136.83/x
  3. Step 3: Cross multiply
    6,908.21x = 10,364.88 × 4,136.83
  4. Step 4: Simplify right side
    6,908.21x = 42,877,720.62
  5. Step 5: Solve for x
    x = 42,877,720.62/6,908.21
  6. Step 6: Final answer
    x = 6,206.77

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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.