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Finding the Fourth Proportional to 8,135.37, 12,188.48 and 7,566.75

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Solution

The fourth proportional to 8,135.37, 12,188.48 and 7,566.75 is: 11,336.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,135.37 : 12,188.48 = 7,566.75 : x
  2. Step 2: Convert to fraction form
    8,135.37/12,188.48 = 7,566.75/x
  3. Step 3: Cross multiply
    8,135.37x = 12,188.48 × 7,566.75
  4. Step 4: Simplify right side
    8,135.37x = 92,227,143.21
  5. Step 5: Solve for x
    x = 92,227,143.21/8,135.37
  6. Step 6: Final answer
    x = 11,336.56

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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.