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Finding the Fourth Proportional to 8,180.90, 12,276.03 and 3,182.61

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Solution

The fourth proportional to 8,180.90, 12,276.03 and 3,182.61 is: 4,775.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,180.90 : 12,276.03 = 3,182.61 : x
  2. Step 2: Convert to fraction form
    8,180.90/12,276.03 = 3,182.61/x
  3. Step 3: Cross multiply
    8,180.90x = 12,276.03 × 3,182.61
  4. Step 4: Simplify right side
    8,180.90x = 39,069,861.87
  5. Step 5: Solve for x
    x = 39,069,861.87/8,180.90
  6. Step 6: Final answer
    x = 4,775.74

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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.