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Finding the Fourth Proportional to 11,323.89, 16,961.07 and 8,027.01

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Solution

The fourth proportional to 11,323.89, 16,961.07 and 8,027.01 is: 12,022.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,323.89 : 16,961.07 = 8,027.01 : x
  2. Step 2: Convert to fraction form
    11,323.89/16,961.07 = 8,027.01/x
  3. Step 3: Cross multiply
    11,323.89x = 16,961.07 × 8,027.01
  4. Step 4: Simplify right side
    11,323.89x = 136,146,678.50
  5. Step 5: Solve for x
    x = 136,146,678.50/11,323.89
  6. Step 6: Final answer
    x = 12,022.96

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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.