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Finding the Fourth Proportional to 7,811, 11,716.50 and 2,339

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Solution

The fourth proportional to 7,811, 11,716.50 and 2,339 is: 3,508.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,811 : 11,716.50 = 2,339 : x
  2. Step 2: Convert to fraction form
    7,811/11,716.50 = 2,339/x
  3. Step 3: Cross multiply
    7,811x = 11,716.50 × 2,339
  4. Step 4: Simplify right side
    7,811x = 27,404,893.50
  5. Step 5: Solve for x
    x = 27,404,893.50/7,811
  6. Step 6: Final answer
    x = 3,508.50

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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.