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Finding the Fourth Proportional to 8,513.27, 12,771.23 and 3,584.30

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Solution

The fourth proportional to 8,513.27, 12,771.23 and 3,584.30 is: 5,377.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,513.27 : 12,771.23 = 3,584.30 : x
  2. Step 2: Convert to fraction form
    8,513.27/12,771.23 = 3,584.30/x
  3. Step 3: Cross multiply
    8,513.27x = 12,771.23 × 3,584.30
  4. Step 4: Simplify right side
    8,513.27x = 45,775,837.91
  5. Step 5: Solve for x
    x = 45,775,837.91/8,513.27
  6. Step 6: Final answer
    x = 5,377.00

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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.