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Finding the Fourth Proportional to 11,843.80, 17,762.45 and 4,447.70

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Solution

The fourth proportional to 11,843.80, 17,762.45 and 4,447.70 is: 6,670.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,843.80 : 17,762.45 = 4,447.70 : x
  2. Step 2: Convert to fraction form
    11,843.80/17,762.45 = 4,447.70/x
  3. Step 3: Cross multiply
    11,843.80x = 17,762.45 × 4,447.70
  4. Step 4: Simplify right side
    11,843.80x = 79,002,048.87
  5. Step 5: Solve for x
    x = 79,002,048.87/11,843.80
  6. Step 6: Final answer
    x = 6,670.33

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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.