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Finding the Fourth Proportional to 7,796.36, 11,687.88 and 3,410.52

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Solution

The fourth proportional to 7,796.36, 11,687.88 and 3,410.52 is: 5,112.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,796.36 : 11,687.88 = 3,410.52 : x
  2. Step 2: Convert to fraction form
    7,796.36/11,687.88 = 3,410.52/x
  3. Step 3: Cross multiply
    7,796.36x = 11,687.88 × 3,410.52
  4. Step 4: Simplify right side
    7,796.36x = 39,861,748.50
  5. Step 5: Solve for x
    x = 39,861,748.50/7,796.36
  6. Step 6: Final answer
    x = 5,112.87

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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.