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Finding the Fourth Proportional to 11,338.70, 17,005.62 and 3,546.50

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Solution

The fourth proportional to 11,338.70, 17,005.62 and 3,546.50 is: 5,318.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,338.70 : 17,005.62 = 3,546.50 : x
  2. Step 2: Convert to fraction form
    11,338.70/17,005.62 = 3,546.50/x
  3. Step 3: Cross multiply
    11,338.70x = 17,005.62 × 3,546.50
  4. Step 4: Simplify right side
    11,338.70x = 60,310,431.33
  5. Step 5: Solve for x
    x = 60,310,431.33/11,338.70
  6. Step 6: Final answer
    x = 5,318.99

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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.