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Finding the Fourth Proportional to 10,181.88, 15,274.62 and 3,611.88

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Solution

The fourth proportional to 10,181.88, 15,274.62 and 3,611.88 is: 5,418.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,181.88 : 15,274.62 = 3,611.88 : x
  2. Step 2: Convert to fraction form
    10,181.88/15,274.62 = 3,611.88/x
  3. Step 3: Cross multiply
    10,181.88x = 15,274.62 × 3,611.88
  4. Step 4: Simplify right side
    10,181.88x = 55,170,094.49
  5. Step 5: Solve for x
    x = 55,170,094.49/10,181.88
  6. Step 6: Final answer
    x = 5,418.46

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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.