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Finding the Fourth Proportional to 11,173.14, 16,745.74 and 5,627.88

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Solution

The fourth proportional to 11,173.14, 16,745.74 and 5,627.88 is: 8,434.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,173.14 : 16,745.74 = 5,627.88 : x
  2. Step 2: Convert to fraction form
    11,173.14/16,745.74 = 5,627.88/x
  3. Step 3: Cross multiply
    11,173.14x = 16,745.74 × 5,627.88
  4. Step 4: Simplify right side
    11,173.14x = 94,243,001.16
  5. Step 5: Solve for x
    x = 94,243,001.16/11,173.14
  6. Step 6: Final answer
    x = 8,434.78

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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.