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Finding the Fourth Proportional to 7,116.62, 10,674.92 and 2,185.61

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Solution

The fourth proportional to 7,116.62, 10,674.92 and 2,185.61 is: 3,278.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,116.62 : 10,674.92 = 2,185.61 : x
  2. Step 2: Convert to fraction form
    7,116.62/10,674.92 = 2,185.61/x
  3. Step 3: Cross multiply
    7,116.62x = 10,674.92 × 2,185.61
  4. Step 4: Simplify right side
    7,116.62x = 23,331,163.99
  5. Step 5: Solve for x
    x = 23,331,163.99/7,116.62
  6. Step 6: Final answer
    x = 3,278.41

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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.