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Finding the Fourth Proportional to 11,825.76, 17,735.04 and 3,926.88

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Solution

The fourth proportional to 11,825.76, 17,735.04 and 3,926.88 is: 5,889.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,825.76 : 17,735.04 = 3,926.88 : x
  2. Step 2: Convert to fraction form
    11,825.76/17,735.04 = 3,926.88/x
  3. Step 3: Cross multiply
    11,825.76x = 17,735.04 × 3,926.88
  4. Step 4: Simplify right side
    11,825.76x = 69,643,373.88
  5. Step 5: Solve for x
    x = 69,643,373.88/11,825.76
  6. Step 6: Final answer
    x = 5,889.12

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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.