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Finding the Fourth Proportional to 10,793.36, 16,185.77 and 5,245.05

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Solution

The fourth proportional to 10,793.36, 16,185.77 and 5,245.05 is: 7,865.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,793.36 : 16,185.77 = 5,245.05 : x
  2. Step 2: Convert to fraction form
    10,793.36/16,185.77 = 5,245.05/x
  3. Step 3: Cross multiply
    10,793.36x = 16,185.77 × 5,245.05
  4. Step 4: Simplify right side
    10,793.36x = 84,895,146.71
  5. Step 5: Solve for x
    x = 84,895,146.71/10,793.36
  6. Step 6: Final answer
    x = 7,865.50

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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.