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Finding the Fourth Proportional to 11,222.67, 16,836.02 and 4,649.37

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Solution

The fourth proportional to 11,222.67, 16,836.02 and 4,649.37 is: 6,974.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,222.67 : 16,836.02 = 4,649.37 : x
  2. Step 2: Convert to fraction form
    11,222.67/16,836.02 = 4,649.37/x
  3. Step 3: Cross multiply
    11,222.67x = 16,836.02 × 4,649.37
  4. Step 4: Simplify right side
    11,222.67x = 78,276,886.31
  5. Step 5: Solve for x
    x = 78,276,886.31/11,222.67
  6. Step 6: Final answer
    x = 6,974.89

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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.