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Finding the Fourth Proportional to 8,433.48, 12,649.11 and 2,589.60

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Solution

The fourth proportional to 8,433.48, 12,649.11 and 2,589.60 is: 3,884.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,433.48 : 12,649.11 = 2,589.60 : x
  2. Step 2: Convert to fraction form
    8,433.48/12,649.11 = 2,589.60/x
  3. Step 3: Cross multiply
    8,433.48x = 12,649.11 × 2,589.60
  4. Step 4: Simplify right side
    8,433.48x = 32,756,135.26
  5. Step 5: Solve for x
    x = 32,756,135.26/8,433.48
  6. Step 6: Final answer
    x = 3,884.06

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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.