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Finding the Fourth Proportional to 11,049.54, 16,573.77 and 4,123.50

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Solution

The fourth proportional to 11,049.54, 16,573.77 and 4,123.50 is: 6,185.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,049.54 : 16,573.77 = 4,123.50 : x
  2. Step 2: Convert to fraction form
    11,049.54/16,573.77 = 4,123.50/x
  3. Step 3: Cross multiply
    11,049.54x = 16,573.77 × 4,123.50
  4. Step 4: Simplify right side
    11,049.54x = 68,341,940.60
  5. Step 5: Solve for x
    x = 68,341,940.60/11,049.54
  6. Step 6: Final answer
    x = 6,185.05

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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.