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Finding the Fourth Proportional to 11,759.64, 17,639.01 and 3,968.34

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Solution

The fourth proportional to 11,759.64, 17,639.01 and 3,968.34 is: 5,952.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,759.64 : 17,639.01 = 3,968.34 : x
  2. Step 2: Convert to fraction form
    11,759.64/17,639.01 = 3,968.34/x
  3. Step 3: Cross multiply
    11,759.64x = 17,639.01 × 3,968.34
  4. Step 4: Simplify right side
    11,759.64x = 69,997,588.94
  5. Step 5: Solve for x
    x = 69,997,588.94/11,759.64
  6. Step 6: Final answer
    x = 5,952.36

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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.