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Finding the Fourth Proportional to 10,900.20, 16,338.94 and 5,052

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Solution

The fourth proportional to 10,900.20, 16,338.94 and 5,052 is: 7,572.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,900.20 : 16,338.94 = 5,052 : x
  2. Step 2: Convert to fraction form
    10,900.20/16,338.94 = 5,052/x
  3. Step 3: Cross multiply
    10,900.20x = 16,338.94 × 5,052
  4. Step 4: Simplify right side
    10,900.20x = 82,544,324.88
  5. Step 5: Solve for x
    x = 82,544,324.88/10,900.20
  6. Step 6: Final answer
    x = 7,572.73

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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.