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Finding the Fourth Proportional to 11,755.64, 17,635.86 and 3,964.28

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Solution

The fourth proportional to 11,755.64, 17,635.86 and 3,964.28 is: 5,947.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,755.64 : 17,635.86 = 3,964.28 : x
  2. Step 2: Convert to fraction form
    11,755.64/17,635.86 = 3,964.28/x
  3. Step 3: Cross multiply
    11,755.64x = 17,635.86 × 3,964.28
  4. Step 4: Simplify right side
    11,755.64x = 69,913,487.08
  5. Step 5: Solve for x
    x = 69,913,487.08/11,755.64
  6. Step 6: Final answer
    x = 5,947.23

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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.