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Finding the Fourth Proportional to 8,734.24, 12,052.02 and 5,198.86

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Solution

The fourth proportional to 8,734.24, 12,052.02 and 5,198.86 is: 7,173.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,734.24 : 12,052.02 = 5,198.86 : x
  2. Step 2: Convert to fraction form
    8,734.24/12,052.02 = 5,198.86/x
  3. Step 3: Cross multiply
    8,734.24x = 12,052.02 × 5,198.86
  4. Step 4: Simplify right side
    8,734.24x = 62,656,764.70
  5. Step 5: Solve for x
    x = 62,656,764.70/8,734.24
  6. Step 6: Final answer
    x = 7,173.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.