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Finding the Fourth Proportional to 8,456.23, 12,684.43 and 3,776.48

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Solution

The fourth proportional to 8,456.23, 12,684.43 and 3,776.48 is: 5,664.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,456.23 : 12,684.43 = 3,776.48 : x
  2. Step 2: Convert to fraction form
    8,456.23/12,684.43 = 3,776.48/x
  3. Step 3: Cross multiply
    8,456.23x = 12,684.43 × 3,776.48
  4. Step 4: Simplify right side
    8,456.23x = 47,902,432.78
  5. Step 5: Solve for x
    x = 47,902,432.78/8,456.23
  6. Step 6: Final answer
    x = 5,664.75

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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.