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Finding the Fourth Proportional to 8,428.54, 12,644.97 and 2,585.20

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Solution

The fourth proportional to 8,428.54, 12,644.97 and 2,585.20 is: 3,878.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,428.54 : 12,644.97 = 2,585.20 : x
  2. Step 2: Convert to fraction form
    8,428.54/12,644.97 = 2,585.20/x
  3. Step 3: Cross multiply
    8,428.54x = 12,644.97 × 2,585.20
  4. Step 4: Simplify right side
    8,428.54x = 32,689,776.44
  5. Step 5: Solve for x
    x = 32,689,776.44/8,428.54
  6. Step 6: Final answer
    x = 3,878.46

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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.