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Finding the Fourth Proportional to 7,071.30, 10,605.96 and 3,914.55

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Solution

The fourth proportional to 7,071.30, 10,605.96 and 3,914.55 is: 5,871.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,071.30 : 10,605.96 = 3,914.55 : x
  2. Step 2: Convert to fraction form
    7,071.30/10,605.96 = 3,914.55/x
  3. Step 3: Cross multiply
    7,071.30x = 10,605.96 × 3,914.55
  4. Step 4: Simplify right side
    7,071.30x = 41,517,560.72
  5. Step 5: Solve for x
    x = 41,517,560.72/7,071.30
  6. Step 6: Final answer
    x = 5,871.28

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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.