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Finding the Fourth Proportional to 11,444.88, 17,175 and 4,049.30

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Solution

The fourth proportional to 11,444.88, 17,175 and 4,049.30 is: 6,076.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,444.88 : 17,175 = 4,049.30 : x
  2. Step 2: Convert to fraction form
    11,444.88/17,175 = 4,049.30/x
  3. Step 3: Cross multiply
    11,444.88x = 17,175 × 4,049.30
  4. Step 4: Simplify right side
    11,444.88x = 69,546,727.50
  5. Step 5: Solve for x
    x = 69,546,727.50/11,444.88
  6. Step 6: Final answer
    x = 6,076.67

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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.