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Finding the Fourth Proportional to 10,873.44, 16,311.78 and 5,030.64

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Solution

The fourth proportional to 10,873.44, 16,311.78 and 5,030.64 is: 7,546.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,873.44 : 16,311.78 = 5,030.64 : x
  2. Step 2: Convert to fraction form
    10,873.44/16,311.78 = 5,030.64/x
  3. Step 3: Cross multiply
    10,873.44x = 16,311.78 × 5,030.64
  4. Step 4: Simplify right side
    10,873.44x = 82,058,692.94
  5. Step 5: Solve for x
    x = 82,058,692.94/10,873.44
  6. Step 6: Final answer
    x = 7,546.71

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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.