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Finding the Fourth Proportional to 11,086.31, 16,627.90 and 3,189.50

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Solution

The fourth proportional to 11,086.31, 16,627.90 and 3,189.50 is: 4,783.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,086.31 : 16,627.90 = 3,189.50 : x
  2. Step 2: Convert to fraction form
    11,086.31/16,627.90 = 3,189.50/x
  3. Step 3: Cross multiply
    11,086.31x = 16,627.90 × 3,189.50
  4. Step 4: Simplify right side
    11,086.31x = 53,034,603.91
  5. Step 5: Solve for x
    x = 53,034,603.91/11,086.31
  6. Step 6: Final answer
    x = 4,783.79

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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.