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Finding the Fourth Proportional to 10,245.96, 15,367.15 and 2,851

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Solution

The fourth proportional to 10,245.96, 15,367.15 and 2,851 is: 4,276.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,245.96 : 15,367.15 = 2,851 : x
  2. Step 2: Convert to fraction form
    10,245.96/15,367.15 = 2,851/x
  3. Step 3: Cross multiply
    10,245.96x = 15,367.15 × 2,851
  4. Step 4: Simplify right side
    10,245.96x = 43,811,744.65
  5. Step 5: Solve for x
    x = 43,811,744.65/10,245.96
  6. Step 6: Final answer
    x = 4,276.00

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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.