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Finding the Fourth Proportional to 8,512, 12,773.82 and 2,965.34

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Solution

The fourth proportional to 8,512, 12,773.82 and 2,965.34 is: 4,450.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,512 : 12,773.82 = 2,965.34 : x
  2. Step 2: Convert to fraction form
    8,512/12,773.82 = 2,965.34/x
  3. Step 3: Cross multiply
    8,512x = 12,773.82 × 2,965.34
  4. Step 4: Simplify right side
    8,512x = 37,878,719.40
  5. Step 5: Solve for x
    x = 37,878,719.40/8,512
  6. Step 6: Final answer
    x = 4,450.04

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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.