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Finding the Fourth Proportional to 8,510.43, 12,743.77 and 5,213.53

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Solution

The fourth proportional to 8,510.43, 12,743.77 and 5,213.53 is: 7,806.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,510.43 : 12,743.77 = 5,213.53 : x
  2. Step 2: Convert to fraction form
    8,510.43/12,743.77 = 5,213.53/x
  3. Step 3: Cross multiply
    8,510.43x = 12,743.77 × 5,213.53
  4. Step 4: Simplify right side
    8,510.43x = 66,440,027.21
  5. Step 5: Solve for x
    x = 66,440,027.21/8,510.43
  6. Step 6: Final answer
    x = 7,806.89

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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.