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Finding the Fourth Proportional to 7,953.77, 11,912.48 and 3,796.70

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Solution

The fourth proportional to 7,953.77, 11,912.48 and 3,796.70 is: 5,686.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,953.77 : 11,912.48 = 3,796.70 : x
  2. Step 2: Convert to fraction form
    7,953.77/11,912.48 = 3,796.70/x
  3. Step 3: Cross multiply
    7,953.77x = 11,912.48 × 3,796.70
  4. Step 4: Simplify right side
    7,953.77x = 45,228,034.27
  5. Step 5: Solve for x
    x = 45,228,034.27/7,953.77
  6. Step 6: Final answer
    x = 5,686.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.