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Finding the Fourth Proportional to 8,441.28, 12,649.68 and 3,504.78

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Solution

The fourth proportional to 8,441.28, 12,649.68 and 3,504.78 is: 5,252.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,441.28 : 12,649.68 = 3,504.78 : x
  2. Step 2: Convert to fraction form
    8,441.28/12,649.68 = 3,504.78/x
  3. Step 3: Cross multiply
    8,441.28x = 12,649.68 × 3,504.78
  4. Step 4: Simplify right side
    8,441.28x = 44,334,345.47
  5. Step 5: Solve for x
    x = 44,334,345.47/8,441.28
  6. Step 6: Final answer
    x = 5,252.09

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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.