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Finding the Fourth Proportional to 8,431.75, 12,649.11 and 2,885.68

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Solution

The fourth proportional to 8,431.75, 12,649.11 and 2,885.68 is: 4,329.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,431.75 : 12,649.11 = 2,885.68 : x
  2. Step 2: Convert to fraction form
    8,431.75/12,649.11 = 2,885.68/x
  3. Step 3: Cross multiply
    8,431.75x = 12,649.11 × 2,885.68
  4. Step 4: Simplify right side
    8,431.75x = 36,501,283.74
  5. Step 5: Solve for x
    x = 36,501,283.74/8,431.75
  6. Step 6: Final answer
    x = 4,329.03

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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.