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Finding the Fourth Proportional to 7,948.70, 11,923.04 and 2,105.31

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Solution

The fourth proportional to 7,948.70, 11,923.04 and 2,105.31 is: 3,157.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,948.70 : 11,923.04 = 2,105.31 : x
  2. Step 2: Convert to fraction form
    7,948.70/11,923.04 = 2,105.31/x
  3. Step 3: Cross multiply
    7,948.70x = 11,923.04 × 2,105.31
  4. Step 4: Simplify right side
    7,948.70x = 25,101,684.82
  5. Step 5: Solve for x
    x = 25,101,684.82/7,948.70
  6. Step 6: Final answer
    x = 3,157.96

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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.