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Finding the Fourth Proportional to 8,536, 12,805.44 and 3,607.96

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Solution

The fourth proportional to 8,536, 12,805.44 and 3,607.96 is: 5,412.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,536 : 12,805.44 = 3,607.96 : x
  2. Step 2: Convert to fraction form
    8,536/12,805.44 = 3,607.96/x
  3. Step 3: Cross multiply
    8,536x = 12,805.44 × 3,607.96
  4. Step 4: Simplify right side
    8,536x = 46,201,515.30
  5. Step 5: Solve for x
    x = 46,201,515.30/8,536
  6. Step 6: Final answer
    x = 5,412.55

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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.