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Finding the Fourth Proportional to 7,071.45, 10,608.70 and 2,074.23

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Solution

The fourth proportional to 7,071.45, 10,608.70 and 2,074.23 is: 3,111.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,071.45 : 10,608.70 = 2,074.23 : x
  2. Step 2: Convert to fraction form
    7,071.45/10,608.70 = 2,074.23/x
  3. Step 3: Cross multiply
    7,071.45x = 10,608.70 × 2,074.23
  4. Step 4: Simplify right side
    7,071.45x = 22,004,883.80
  5. Step 5: Solve for x
    x = 22,004,883.80/7,071.45
  6. Step 6: Final answer
    x = 3,111.79

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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.