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Finding the Fourth Proportional to 8,571, 12,853.16 and 3,640.84

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Solution

The fourth proportional to 8,571, 12,853.16 and 3,640.84 is: 5,459.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,571 : 12,853.16 = 3,640.84 : x
  2. Step 2: Convert to fraction form
    8,571/12,853.16 = 3,640.84/x
  3. Step 3: Cross multiply
    8,571x = 12,853.16 × 3,640.84
  4. Step 4: Simplify right side
    8,571x = 46,796,299.05
  5. Step 5: Solve for x
    x = 46,796,299.05/8,571
  6. Step 6: Final answer
    x = 5,459.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.