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Finding the Fourth Proportional to 7,708.87, 11,564.09 and 2,162.23

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Solution

The fourth proportional to 7,708.87, 11,564.09 and 2,162.23 is: 3,243.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,708.87 : 11,564.09 = 2,162.23 : x
  2. Step 2: Convert to fraction form
    7,708.87/11,564.09 = 2,162.23/x
  3. Step 3: Cross multiply
    7,708.87x = 11,564.09 × 2,162.23
  4. Step 4: Simplify right side
    7,708.87x = 25,004,222.32
  5. Step 5: Solve for x
    x = 25,004,222.32/7,708.87
  6. Step 6: Final answer
    x = 3,243.57

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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.