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Finding the Fourth Proportional to 8,434.58, 12,649.44 and 2,511.21

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Solution

The fourth proportional to 8,434.58, 12,649.44 and 2,511.21 is: 3,766.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,434.58 : 12,649.44 = 2,511.21 : x
  2. Step 2: Convert to fraction form
    8,434.58/12,649.44 = 2,511.21/x
  3. Step 3: Cross multiply
    8,434.58x = 12,649.44 × 2,511.21
  4. Step 4: Simplify right side
    8,434.58x = 31,765,457.07
  5. Step 5: Solve for x
    x = 31,765,457.07/8,434.58
  6. Step 6: Final answer
    x = 3,766.10

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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.