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Finding the Fourth Proportional to 8,125.75, 12,189.23 and 4,614.40

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Solution

The fourth proportional to 8,125.75, 12,189.23 and 4,614.40 is: 6,921.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,125.75 : 12,189.23 = 4,614.40 : x
  2. Step 2: Convert to fraction form
    8,125.75/12,189.23 = 4,614.40/x
  3. Step 3: Cross multiply
    8,125.75x = 12,189.23 × 4,614.40
  4. Step 4: Simplify right side
    8,125.75x = 56,245,982.91
  5. Step 5: Solve for x
    x = 56,245,982.91/8,125.75
  6. Step 6: Final answer
    x = 6,921.94

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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.