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Finding the Fourth Proportional to 11,917.28, 16,453.09 and 9,259.67

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Solution

The fourth proportional to 11,917.28, 16,453.09 and 9,259.67 is: 12,783.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,917.28 : 16,453.09 = 9,259.67 : x
  2. Step 2: Convert to fraction form
    11,917.28/16,453.09 = 9,259.67/x
  3. Step 3: Cross multiply
    11,917.28x = 16,453.09 × 9,259.67
  4. Step 4: Simplify right side
    11,917.28x = 152,350,236.59
  5. Step 5: Solve for x
    x = 152,350,236.59/11,917.28
  6. Step 6: Final answer
    x = 12,783.97

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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.