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Finding the Fourth Proportional to 10,815.15, 16,231.84 and 4,245.95

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Solution

The fourth proportional to 10,815.15, 16,231.84 and 4,245.95 is: 6,372.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,815.15 : 16,231.84 = 4,245.95 : x
  2. Step 2: Convert to fraction form
    10,815.15/16,231.84 = 4,245.95/x
  3. Step 3: Cross multiply
    10,815.15x = 16,231.84 × 4,245.95
  4. Step 4: Simplify right side
    10,815.15x = 68,919,499.89
  5. Step 5: Solve for x
    x = 68,919,499.89/10,815.15
  6. Step 6: Final answer
    x = 6,372.50

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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.