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Finding the Fourth Proportional to 7,071.94, 10,597.89 and 5,208.43

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Solution

The fourth proportional to 7,071.94, 10,597.89 and 5,208.43 is: 7,805.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,071.94 : 10,597.89 = 5,208.43 : x
  2. Step 2: Convert to fraction form
    7,071.94/10,597.89 = 5,208.43/x
  3. Step 3: Cross multiply
    7,071.94x = 10,597.89 × 5,208.43
  4. Step 4: Simplify right side
    7,071.94x = 55,198,368.21
  5. Step 5: Solve for x
    x = 55,198,368.21/7,071.94
  6. Step 6: Final answer
    x = 7,805.27

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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.