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Finding the Fourth Proportional to 8,289.67, 12,434.41 and 2,133.67

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Solution

The fourth proportional to 8,289.67, 12,434.41 and 2,133.67 is: 3,200.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,289.67 : 12,434.41 = 2,133.67 : x
  2. Step 2: Convert to fraction form
    8,289.67/12,434.41 = 2,133.67/x
  3. Step 3: Cross multiply
    8,289.67x = 12,434.41 × 2,133.67
  4. Step 4: Simplify right side
    8,289.67x = 26,530,927.58
  5. Step 5: Solve for x
    x = 26,530,927.58/8,289.67
  6. Step 6: Final answer
    x = 3,200.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.