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Finding the Fourth Proportional to 11,756.64, 17,637.40 and 3,965.26

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Solution

The fourth proportional to 11,756.64, 17,637.40 and 3,965.26 is: 5,948.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,756.64 : 17,637.40 = 3,965.26 : x
  2. Step 2: Convert to fraction form
    11,756.64/17,637.40 = 3,965.26/x
  3. Step 3: Cross multiply
    11,756.64x = 17,637.40 × 3,965.26
  4. Step 4: Simplify right side
    11,756.64x = 69,936,876.72
  5. Step 5: Solve for x
    x = 69,936,876.72/11,756.64
  6. Step 6: Final answer
    x = 5,948.71

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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.