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Finding the Fourth Proportional to 11,296.80, 16,936.78 and 4,713.64

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Solution

The fourth proportional to 11,296.80, 16,936.78 and 4,713.64 is: 7,066.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,296.80 : 16,936.78 = 4,713.64 : x
  2. Step 2: Convert to fraction form
    11,296.80/16,936.78 = 4,713.64/x
  3. Step 3: Cross multiply
    11,296.80x = 16,936.78 × 4,713.64
  4. Step 4: Simplify right side
    11,296.80x = 79,833,883.68
  5. Step 5: Solve for x
    x = 79,833,883.68/11,296.80
  6. Step 6: Final answer
    x = 7,066.95

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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.