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Finding the Fourth Proportional to 8,294.49, 12,446.31 and 4,596.23

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Solution

The fourth proportional to 8,294.49, 12,446.31 and 4,596.23 is: 6,896.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,294.49 : 12,446.31 = 4,596.23 : x
  2. Step 2: Convert to fraction form
    8,294.49/12,446.31 = 4,596.23/x
  3. Step 3: Cross multiply
    8,294.49x = 12,446.31 × 4,596.23
  4. Step 4: Simplify right side
    8,294.49x = 57,206,103.41
  5. Step 5: Solve for x
    x = 57,206,103.41/8,294.49
  6. Step 6: Final answer
    x = 6,896.88

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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.