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Finding the Fourth Proportional to 11,756.40, 17,634.48 and 3,965.16

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Solution

The fourth proportional to 11,756.40, 17,634.48 and 3,965.16 is: 5,947.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,756.40 : 17,634.48 = 3,965.16 : x
  2. Step 2: Convert to fraction form
    11,756.40/17,634.48 = 3,965.16/x
  3. Step 3: Cross multiply
    11,756.40x = 17,634.48 × 3,965.16
  4. Step 4: Simplify right side
    11,756.40x = 69,923,534.72
  5. Step 5: Solve for x
    x = 69,923,534.72/11,756.40
  6. Step 6: Final answer
    x = 5,947.70

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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.