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Finding the Fourth Proportional to 11,843.79, 17,759.14 and 4,822

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Solution

The fourth proportional to 11,843.79, 17,759.14 and 4,822 is: 7,230.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,843.79 : 17,759.14 = 4,822 : x
  2. Step 2: Convert to fraction form
    11,843.79/17,759.14 = 4,822/x
  3. Step 3: Cross multiply
    11,843.79x = 17,759.14 × 4,822
  4. Step 4: Simplify right side
    11,843.79x = 85,634,573.08
  5. Step 5: Solve for x
    x = 85,634,573.08/11,843.79
  6. Step 6: Final answer
    x = 7,230.34

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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.