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Finding the Fourth Proportional to 11,771.36, 16,243.89 and 6,466.37

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Solution

The fourth proportional to 11,771.36, 16,243.89 and 6,466.37 is: 8,923.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,771.36 : 16,243.89 = 6,466.37 : x
  2. Step 2: Convert to fraction form
    11,771.36/16,243.89 = 6,466.37/x
  3. Step 3: Cross multiply
    11,771.36x = 16,243.89 × 6,466.37
  4. Step 4: Simplify right side
    11,771.36x = 105,038,921.76
  5. Step 5: Solve for x
    x = 105,038,921.76/11,771.36
  6. Step 6: Final answer
    x = 8,923.27

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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.