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Finding the Fourth Proportional to 11,241.75, 16,846.54 and 8,256.78

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Solution

The fourth proportional to 11,241.75, 16,846.54 and 8,256.78 is: 12,373.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,241.75 : 16,846.54 = 8,256.78 : x
  2. Step 2: Convert to fraction form
    11,241.75/16,846.54 = 8,256.78/x
  3. Step 3: Cross multiply
    11,241.75x = 16,846.54 × 8,256.78
  4. Step 4: Simplify right side
    11,241.75x = 139,098,121.73
  5. Step 5: Solve for x
    x = 139,098,121.73/11,241.75
  6. Step 6: Final answer
    x = 12,373.35

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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.