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Finding the Fourth Proportional to 10,840.61, 16,234.34 and 8,954.96

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Solution

The fourth proportional to 10,840.61, 16,234.34 and 8,954.96 is: 13,410.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,840.61 : 16,234.34 = 8,954.96 : x
  2. Step 2: Convert to fraction form
    10,840.61/16,234.34 = 8,954.96/x
  3. Step 3: Cross multiply
    10,840.61x = 16,234.34 × 8,954.96
  4. Step 4: Simplify right side
    10,840.61x = 145,377,865.33
  5. Step 5: Solve for x
    x = 145,377,865.33/10,840.61
  6. Step 6: Final answer
    x = 13,410.49

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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.