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Finding the Fourth Proportional to 8,289.28, 12,434 and 2,445.92

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Solution

The fourth proportional to 8,289.28, 12,434 and 2,445.92 is: 3,668.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,289.28 : 12,434 = 2,445.92 : x
  2. Step 2: Convert to fraction form
    8,289.28/12,434 = 2,445.92/x
  3. Step 3: Cross multiply
    8,289.28x = 12,434 × 2,445.92
  4. Step 4: Simplify right side
    8,289.28x = 30,412,569.28
  5. Step 5: Solve for x
    x = 30,412,569.28/8,289.28
  6. Step 6: Final answer
    x = 3,668.90

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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.