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Finding the Fourth Proportional to 7,071.30, 10,606.21 and 2,911.82

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Solution

The fourth proportional to 7,071.30, 10,606.21 and 2,911.82 is: 4,367.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,071.30 : 10,606.21 = 2,911.82 : x
  2. Step 2: Convert to fraction form
    7,071.30/10,606.21 = 2,911.82/x
  3. Step 3: Cross multiply
    7,071.30x = 10,606.21 × 2,911.82
  4. Step 4: Simplify right side
    7,071.30x = 30,883,314.09
  5. Step 5: Solve for x
    x = 30,883,314.09/7,071.30
  6. Step 6: Final answer
    x = 4,367.42

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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.