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Finding the Fourth Proportional to 11,783.00, 17,677.11 and 3,887.96

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Solution

The fourth proportional to 11,783.00, 17,677.11 and 3,887.96 is: 5,832.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,783.00 : 17,677.11 = 3,887.96 : x
  2. Step 2: Convert to fraction form
    11,783.00/17,677.11 = 3,887.96/x
  3. Step 3: Cross multiply
    11,783.00x = 17,677.11 × 3,887.96
  4. Step 4: Simplify right side
    11,783.00x = 68,727,874.50
  5. Step 5: Solve for x
    x = 68,727,874.50/11,783.00
  6. Step 6: Final answer
    x = 5,832.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.