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Finding the Fourth Proportional to 6,696.42, 10,031.55 and 3,181.42

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Solution

The fourth proportional to 6,696.42, 10,031.55 and 3,181.42 is: 4,765.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,696.42 : 10,031.55 = 3,181.42 : x
  2. Step 2: Convert to fraction form
    6,696.42/10,031.55 = 3,181.42/x
  3. Step 3: Cross multiply
    6,696.42x = 10,031.55 × 3,181.42
  4. Step 4: Simplify right side
    6,696.42x = 31,914,573.80
  5. Step 5: Solve for x
    x = 31,914,573.80/6,696.42
  6. Step 6: Final answer
    x = 4,765.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.