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Finding the Fourth Proportional to 8,628.72, 12,940.32 and 2,784

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Solution

The fourth proportional to 8,628.72, 12,940.32 and 2,784 is: 4,175.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,628.72 : 12,940.32 = 2,784 : x
  2. Step 2: Convert to fraction form
    8,628.72/12,940.32 = 2,784/x
  3. Step 3: Cross multiply
    8,628.72x = 12,940.32 × 2,784
  4. Step 4: Simplify right side
    8,628.72x = 36,025,850.88
  5. Step 5: Solve for x
    x = 36,025,850.88/8,628.72
  6. Step 6: Final answer
    x = 4,175.11

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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.