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Finding the Fourth Proportional to 8,289.55, 12,434.33 and 2,049.67

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Solution

The fourth proportional to 8,289.55, 12,434.33 and 2,049.67 is: 3,074.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,289.55 : 12,434.33 = 2,049.67 : x
  2. Step 2: Convert to fraction form
    8,289.55/12,434.33 = 2,049.67/x
  3. Step 3: Cross multiply
    8,289.55x = 12,434.33 × 2,049.67
  4. Step 4: Simplify right side
    8,289.55x = 25,486,293.84
  5. Step 5: Solve for x
    x = 25,486,293.84/8,289.55
  6. Step 6: Final answer
    x = 3,074.51

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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.