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Finding the Fourth Proportional to 11,769.58, 16,224.87 and 8,406.46

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Solution

The fourth proportional to 11,769.58, 16,224.87 and 8,406.46 is: 11,588.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,769.58 : 16,224.87 = 8,406.46 : x
  2. Step 2: Convert to fraction form
    11,769.58/16,224.87 = 8,406.46/x
  3. Step 3: Cross multiply
    11,769.58x = 16,224.87 × 8,406.46
  4. Step 4: Simplify right side
    11,769.58x = 136,393,720.66
  5. Step 5: Solve for x
    x = 136,393,720.66/11,769.58
  6. Step 6: Final answer
    x = 11,588.67

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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.