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Finding the Fourth Proportional to 11,846.80, 17,770.50 and 4,055.56

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Solution

The fourth proportional to 11,846.80, 17,770.50 and 4,055.56 is: 6,083.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,846.80 : 17,770.50 = 4,055.56 : x
  2. Step 2: Convert to fraction form
    11,846.80/17,770.50 = 4,055.56/x
  3. Step 3: Cross multiply
    11,846.80x = 17,770.50 × 4,055.56
  4. Step 4: Simplify right side
    11,846.80x = 72,069,328.98
  5. Step 5: Solve for x
    x = 72,069,328.98/11,846.80
  6. Step 6: Final answer
    x = 6,083.44

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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.