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Finding the Fourth Proportional to 8,147.59, 12,245.38 and 5,523.80

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Solution

The fourth proportional to 8,147.59, 12,245.38 and 5,523.80 is: 8,301.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,147.59 : 12,245.38 = 5,523.80 : x
  2. Step 2: Convert to fraction form
    8,147.59/12,245.38 = 5,523.80/x
  3. Step 3: Cross multiply
    8,147.59x = 12,245.38 × 5,523.80
  4. Step 4: Simplify right side
    8,147.59x = 67,640,955.01
  5. Step 5: Solve for x
    x = 67,640,955.01/8,147.59
  6. Step 6: Final answer
    x = 8,301.96

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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.