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Finding the Fourth Proportional to 10,770.30, 16,163.33 and 7,071.23

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Solution

The fourth proportional to 10,770.30, 16,163.33 and 7,071.23 is: 10,612.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,770.30 : 16,163.33 = 7,071.23 : x
  2. Step 2: Convert to fraction form
    10,770.30/16,163.33 = 7,071.23/x
  3. Step 3: Cross multiply
    10,770.30x = 16,163.33 × 7,071.23
  4. Step 4: Simplify right side
    10,770.30x = 114,294,629.05
  5. Step 5: Solve for x
    x = 114,294,629.05/10,770.30
  6. Step 6: Final answer
    x = 10,612.02

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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.