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Finding the Fourth Proportional to 7,912.14, 11,859.96 and 3,532.68

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Solution

The fourth proportional to 7,912.14, 11,859.96 and 3,532.68 is: 5,295.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,912.14 : 11,859.96 = 3,532.68 : x
  2. Step 2: Convert to fraction form
    7,912.14/11,859.96 = 3,532.68/x
  3. Step 3: Cross multiply
    7,912.14x = 11,859.96 × 3,532.68
  4. Step 4: Simplify right side
    7,912.14x = 41,897,443.49
  5. Step 5: Solve for x
    x = 41,897,443.49/7,912.14
  6. Step 6: Final answer
    x = 5,295.34

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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.