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Finding the Fourth Proportional to 10,309.50, 15,462.51 and 2,912.22

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Solution

The fourth proportional to 10,309.50, 15,462.51 and 2,912.22 is: 4,367.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,309.50 : 15,462.51 = 2,912.22 : x
  2. Step 2: Convert to fraction form
    10,309.50/15,462.51 = 2,912.22/x
  3. Step 3: Cross multiply
    10,309.50x = 15,462.51 × 2,912.22
  4. Step 4: Simplify right side
    10,309.50x = 45,030,230.87
  5. Step 5: Solve for x
    x = 45,030,230.87/10,309.50
  6. Step 6: Final answer
    x = 4,367.84

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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.