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Finding the Fourth Proportional to 11,803.68, 17,716.47 and 5,964.39

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Solution

The fourth proportional to 11,803.68, 17,716.47 and 5,964.39 is: 8,952.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,803.68 : 17,716.47 = 5,964.39 : x
  2. Step 2: Convert to fraction form
    11,803.68/17,716.47 = 5,964.39/x
  3. Step 3: Cross multiply
    11,803.68x = 17,716.47 × 5,964.39
  4. Step 4: Simplify right side
    11,803.68x = 105,667,936.50
  5. Step 5: Solve for x
    x = 105,667,936.50/11,803.68
  6. Step 6: Final answer
    x = 8,952.12

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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.