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Finding the Fourth Proportional to 7,796.60, 11,698.85 and 3,414.10

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Solution

The fourth proportional to 7,796.60, 11,698.85 and 3,414.10 is: 5,122.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,796.60 : 11,698.85 = 3,414.10 : x
  2. Step 2: Convert to fraction form
    7,796.60/11,698.85 = 3,414.10/x
  3. Step 3: Cross multiply
    7,796.60x = 11,698.85 × 3,414.10
  4. Step 4: Simplify right side
    7,796.60x = 39,941,043.79
  5. Step 5: Solve for x
    x = 39,941,043.79/7,796.60
  6. Step 6: Final answer
    x = 5,122.88

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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.