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Finding the Fourth Proportional to 8,294.94, 12,443.31 and 4,136.00

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Solution

The fourth proportional to 8,294.94, 12,443.31 and 4,136.00 is: 6,204.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,294.94 : 12,443.31 = 4,136.00 : x
  2. Step 2: Convert to fraction form
    8,294.94/12,443.31 = 4,136.00/x
  3. Step 3: Cross multiply
    8,294.94x = 12,443.31 × 4,136.00
  4. Step 4: Simplify right side
    8,294.94x = 51,465,467.94
  5. Step 5: Solve for x
    x = 51,465,467.94/8,294.94
  6. Step 6: Final answer
    x = 6,204.44

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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.