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Finding the Fourth Proportional to 8,140.90, 12,213.64 and 2,297.56

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Solution

The fourth proportional to 8,140.90, 12,213.64 and 2,297.56 is: 3,446.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,140.90 : 12,213.64 = 2,297.56 : x
  2. Step 2: Convert to fraction form
    8,140.90/12,213.64 = 2,297.56/x
  3. Step 3: Cross multiply
    8,140.90x = 12,213.64 × 2,297.56
  4. Step 4: Simplify right side
    8,140.90x = 28,061,570.72
  5. Step 5: Solve for x
    x = 28,061,570.72/8,140.90
  6. Step 6: Final answer
    x = 3,446.99

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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.