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Finding the Fourth Proportional to 8,188.35, 12,273.77 and 4,235.63

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Solution

The fourth proportional to 8,188.35, 12,273.77 and 4,235.63 is: 6,348.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,188.35 : 12,273.77 = 4,235.63 : x
  2. Step 2: Convert to fraction form
    8,188.35/12,273.77 = 4,235.63/x
  3. Step 3: Cross multiply
    8,188.35x = 12,273.77 × 4,235.63
  4. Step 4: Simplify right side
    8,188.35x = 51,987,191.98
  5. Step 5: Solve for x
    x = 51,987,191.98/8,188.35
  6. Step 6: Final answer
    x = 6,348.92

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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.