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Finding the Fourth Proportional to 8,224.18, 12,337.49 and 2,380.03

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Solution

The fourth proportional to 8,224.18, 12,337.49 and 2,380.03 is: 3,570.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,224.18 : 12,337.49 = 2,380.03 : x
  2. Step 2: Convert to fraction form
    8,224.18/12,337.49 = 2,380.03/x
  3. Step 3: Cross multiply
    8,224.18x = 12,337.49 × 2,380.03
  4. Step 4: Simplify right side
    8,224.18x = 29,363,584.42
  5. Step 5: Solve for x
    x = 29,363,584.42/8,224.18
  6. Step 6: Final answer
    x = 3,570.40

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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.