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Finding the Fourth Proportional to 8,289.53, 12,434.30 and 2,445.69

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Solution

The fourth proportional to 8,289.53, 12,434.30 and 2,445.69 is: 3,668.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,289.53 : 12,434.30 = 2,445.69 : x
  2. Step 2: Convert to fraction form
    8,289.53/12,434.30 = 2,445.69/x
  3. Step 3: Cross multiply
    8,289.53x = 12,434.30 × 2,445.69
  4. Step 4: Simplify right side
    8,289.53x = 30,410,449.28
  5. Step 5: Solve for x
    x = 30,410,449.28/8,289.53
  6. Step 6: Final answer
    x = 3,668.54

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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.