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Finding the Fourth Proportional to 11,771.92, 16,259.64 and 8,800.96

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Solution

The fourth proportional to 11,771.92, 16,259.64 and 8,800.96 is: 12,156.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,771.92 : 16,259.64 = 8,800.96 : x
  2. Step 2: Convert to fraction form
    11,771.92/16,259.64 = 8,800.96/x
  3. Step 3: Cross multiply
    11,771.92x = 16,259.64 × 8,800.96
  4. Step 4: Simplify right side
    11,771.92x = 143,100,441.25
  5. Step 5: Solve for x
    x = 143,100,441.25/11,771.92
  6. Step 6: Final answer
    x = 12,156.08

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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.