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Finding the Fourth Proportional to 8,428.44, 12,638.50 and 2,583.64

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Solution

The fourth proportional to 8,428.44, 12,638.50 and 2,583.64 is: 3,874.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,428.44 : 12,638.50 = 2,583.64 : x
  2. Step 2: Convert to fraction form
    8,428.44/12,638.50 = 2,583.64/x
  3. Step 3: Cross multiply
    8,428.44x = 12,638.50 × 2,583.64
  4. Step 4: Simplify right side
    8,428.44x = 32,653,334.14
  5. Step 5: Solve for x
    x = 32,653,334.14/8,428.44
  6. Step 6: Final answer
    x = 3,874.18

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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.