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Finding the Fourth Proportional to 11,768.44, 16,223.34 and 8,220.64

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Solution

The fourth proportional to 11,768.44, 16,223.34 and 8,220.64 is: 11,332.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,768.44 : 16,223.34 = 8,220.64 : x
  2. Step 2: Convert to fraction form
    11,768.44/16,223.34 = 8,220.64/x
  3. Step 3: Cross multiply
    11,768.44x = 16,223.34 × 8,220.64
  4. Step 4: Simplify right side
    11,768.44x = 133,366,237.74
  5. Step 5: Solve for x
    x = 133,366,237.74/11,768.44
  6. Step 6: Final answer
    x = 11,332.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.