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Finding the Fourth Proportional to 8,126.68, 12,191.72 and 4,618.31

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Solution

The fourth proportional to 8,126.68, 12,191.72 and 4,618.31 is: 6,928.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,126.68 : 12,191.72 = 4,618.31 : x
  2. Step 2: Convert to fraction form
    8,126.68/12,191.72 = 4,618.31/x
  3. Step 3: Cross multiply
    8,126.68x = 12,191.72 × 4,618.31
  4. Step 4: Simplify right side
    8,126.68x = 56,305,119.30
  5. Step 5: Solve for x
    x = 56,305,119.30/8,126.68
  6. Step 6: Final answer
    x = 6,928.43

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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.