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Finding the Fourth Proportional to 11,811, 16,299.21 and 6,506.31

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Solution

The fourth proportional to 11,811, 16,299.21 and 6,506.31 is: 8,978.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,811 : 16,299.21 = 6,506.31 : x
  2. Step 2: Convert to fraction form
    11,811/16,299.21 = 6,506.31/x
  3. Step 3: Cross multiply
    11,811x = 16,299.21 × 6,506.31
  4. Step 4: Simplify right side
    11,811x = 106,047,713.02
  5. Step 5: Solve for x
    x = 106,047,713.02/11,811
  6. Step 6: Final answer
    x = 8,978.72

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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.