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Finding the Fourth Proportional to 11,853.86, 17,770.34 and 4,839.77

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Solution

The fourth proportional to 11,853.86, 17,770.34 and 4,839.77 is: 7,255.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,853.86 : 17,770.34 = 4,839.77 : x
  2. Step 2: Convert to fraction form
    11,853.86/17,770.34 = 4,839.77/x
  3. Step 3: Cross multiply
    11,853.86x = 17,770.34 × 4,839.77
  4. Step 4: Simplify right side
    11,853.86x = 86,004,269.57
  5. Step 5: Solve for x
    x = 86,004,269.57/11,853.86
  6. Step 6: Final answer
    x = 7,255.38

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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.