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Finding the Fourth Proportional to 12,292.56, 18,438.84 and 3,979.67

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Solution

The fourth proportional to 12,292.56, 18,438.84 and 3,979.67 is: 5,969.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,292.56 : 18,438.84 = 3,979.67 : x
  2. Step 2: Convert to fraction form
    12,292.56/18,438.84 = 3,979.67/x
  3. Step 3: Cross multiply
    12,292.56x = 18,438.84 × 3,979.67
  4. Step 4: Simplify right side
    12,292.56x = 73,380,406.19
  5. Step 5: Solve for x
    x = 73,380,406.19/12,292.56
  6. Step 6: Final answer
    x = 5,969.50

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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.