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Finding the Fourth Proportional to 8,428.25, 12,644.81 and 2,585.72

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Solution

The fourth proportional to 8,428.25, 12,644.81 and 2,585.72 is: 3,879.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,428.25 : 12,644.81 = 2,585.72 : x
  2. Step 2: Convert to fraction form
    8,428.25/12,644.81 = 2,585.72/x
  3. Step 3: Cross multiply
    8,428.25x = 12,644.81 × 2,585.72
  4. Step 4: Simplify right side
    8,428.25x = 32,695,966.49
  5. Step 5: Solve for x
    x = 32,695,966.49/8,428.25
  6. Step 6: Final answer
    x = 3,879.33

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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.