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Finding the Fourth Proportional to 8,200.86, 12,290.90 and 5,238.17

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Solution

The fourth proportional to 8,200.86, 12,290.90 and 5,238.17 is: 7,850.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,200.86 : 12,290.90 = 5,238.17 : x
  2. Step 2: Convert to fraction form
    8,200.86/12,290.90 = 5,238.17/x
  3. Step 3: Cross multiply
    8,200.86x = 12,290.90 × 5,238.17
  4. Step 4: Simplify right side
    8,200.86x = 64,381,775.29
  5. Step 5: Solve for x
    x = 64,381,775.29/8,200.86
  6. Step 6: Final answer
    x = 7,850.61

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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.