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Finding the Fourth Proportional to 7,571.09, 10,446.81 and 6,958.66

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Solution

The fourth proportional to 7,571.09, 10,446.81 and 6,958.66 is: 9,601.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,571.09 : 10,446.81 = 6,958.66 : x
  2. Step 2: Convert to fraction form
    7,571.09/10,446.81 = 6,958.66/x
  3. Step 3: Cross multiply
    7,571.09x = 10,446.81 × 6,958.66
  4. Step 4: Simplify right side
    7,571.09x = 72,695,711.85
  5. Step 5: Solve for x
    x = 72,695,711.85/7,571.09
  6. Step 6: Final answer
    x = 9,601.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.