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Finding the Fourth Proportional to 8,511.52, 12,767.12 and 4,640.56

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Solution

The fourth proportional to 8,511.52, 12,767.12 and 4,640.56 is: 6,960.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,511.52 : 12,767.12 = 4,640.56 : x
  2. Step 2: Convert to fraction form
    8,511.52/12,767.12 = 4,640.56/x
  3. Step 3: Cross multiply
    8,511.52x = 12,767.12 × 4,640.56
  4. Step 4: Simplify right side
    8,511.52x = 59,246,586.39
  5. Step 5: Solve for x
    x = 59,246,586.39/8,511.52
  6. Step 6: Final answer
    x = 6,960.75

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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.