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Finding the Fourth Proportional to 8,213.51, 12,318.92 and 2,290.80

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Solution

The fourth proportional to 8,213.51, 12,318.92 and 2,290.80 is: 3,435.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,213.51 : 12,318.92 = 2,290.80 : x
  2. Step 2: Convert to fraction form
    8,213.51/12,318.92 = 2,290.80/x
  3. Step 3: Cross multiply
    8,213.51x = 12,318.92 × 2,290.80
  4. Step 4: Simplify right side
    8,213.51x = 28,220,206.47
  5. Step 5: Solve for x
    x = 28,220,206.47/8,213.51
  6. Step 6: Final answer
    x = 3,435.83

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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.