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Finding the Fourth Proportional to 7,796.13, 11,694.19 and 2,602.41

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Solution

The fourth proportional to 7,796.13, 11,694.19 and 2,602.41 is: 3,903.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,796.13 : 11,694.19 = 2,602.41 : x
  2. Step 2: Convert to fraction form
    7,796.13/11,694.19 = 2,602.41/x
  3. Step 3: Cross multiply
    7,796.13x = 11,694.19 × 2,602.41
  4. Step 4: Simplify right side
    7,796.13x = 30,433,077.00
  5. Step 5: Solve for x
    x = 30,433,077.00/7,796.13
  6. Step 6: Final answer
    x = 3,903.61

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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.