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Finding the Fourth Proportional to 7,071.44, 10,611.11 and 3,322.56

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Solution

The fourth proportional to 7,071.44, 10,611.11 and 3,322.56 is: 4,985.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,071.44 : 10,611.11 = 3,322.56 : x
  2. Step 2: Convert to fraction form
    7,071.44/10,611.11 = 3,322.56/x
  3. Step 3: Cross multiply
    7,071.44x = 10,611.11 × 3,322.56
  4. Step 4: Simplify right side
    7,071.44x = 35,256,057.95
  5. Step 5: Solve for x
    x = 35,256,057.95/7,071.44
  6. Step 6: Final answer
    x = 4,985.70

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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.