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Finding the Fourth Proportional to 8,188.56, 12,276.41 and 3,805.43

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Solution

The fourth proportional to 8,188.56, 12,276.41 and 3,805.43 is: 5,705.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,188.56 : 12,276.41 = 3,805.43 : x
  2. Step 2: Convert to fraction form
    8,188.56/12,276.41 = 3,805.43/x
  3. Step 3: Cross multiply
    8,188.56x = 12,276.41 × 3,805.43
  4. Step 4: Simplify right side
    8,188.56x = 46,716,938.50
  5. Step 5: Solve for x
    x = 46,716,938.50/8,188.56
  6. Step 6: Final answer
    x = 5,705.15

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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.