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Finding the Fourth Proportional to 8,180.88, 12,276.18 and 4,286.40

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Solution

The fourth proportional to 8,180.88, 12,276.18 and 4,286.40 is: 6,432.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,180.88 : 12,276.18 = 4,286.40 : x
  2. Step 2: Convert to fraction form
    8,180.88/12,276.18 = 4,286.40/x
  3. Step 3: Cross multiply
    8,180.88x = 12,276.18 × 4,286.40
  4. Step 4: Simplify right side
    8,180.88x = 52,620,617.95
  5. Step 5: Solve for x
    x = 52,620,617.95/8,180.88
  6. Step 6: Final answer
    x = 6,432.15

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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.