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Finding the Fourth Proportional to 11,771.54, 16,244.76 and 6,466.46

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Solution

The fourth proportional to 11,771.54, 16,244.76 and 6,466.46 is: 8,923.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,771.54 : 16,244.76 = 6,466.46 : x
  2. Step 2: Convert to fraction form
    11,771.54/16,244.76 = 6,466.46/x
  3. Step 3: Cross multiply
    11,771.54x = 16,244.76 × 6,466.46
  4. Step 4: Simplify right side
    11,771.54x = 105,046,090.75
  5. Step 5: Solve for x
    x = 105,046,090.75/11,771.54
  6. Step 6: Final answer
    x = 8,923.73

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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.