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Finding the Fourth Proportional to 11,034.53, 16,542.49 and 4,789.84

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Solution

The fourth proportional to 11,034.53, 16,542.49 and 4,789.84 is: 7,180.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,034.53 : 16,542.49 = 4,789.84 : x
  2. Step 2: Convert to fraction form
    11,034.53/16,542.49 = 4,789.84/x
  3. Step 3: Cross multiply
    11,034.53x = 16,542.49 × 4,789.84
  4. Step 4: Simplify right side
    11,034.53x = 79,235,880.30
  5. Step 5: Solve for x
    x = 79,235,880.30/11,034.53
  6. Step 6: Final answer
    x = 7,180.72

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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.