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Finding the Fourth Proportional to 7,071.67, 10,605.75 and 2,391.57

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Solution

The fourth proportional to 7,071.67, 10,605.75 and 2,391.57 is: 3,586.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,071.67 : 10,605.75 = 2,391.57 : x
  2. Step 2: Convert to fraction form
    7,071.67/10,605.75 = 2,391.57/x
  3. Step 3: Cross multiply
    7,071.67x = 10,605.75 × 2,391.57
  4. Step 4: Simplify right side
    7,071.67x = 25,364,393.53
  5. Step 5: Solve for x
    x = 25,364,393.53/7,071.67
  6. Step 6: Final answer
    x = 3,586.76

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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.