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Finding the Fourth Proportional to 8,184.40, 12,278.40 and 3,800.80

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Solution

The fourth proportional to 8,184.40, 12,278.40 and 3,800.80 is: 5,702.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,184.40 : 12,278.40 = 3,800.80 : x
  2. Step 2: Convert to fraction form
    8,184.40/12,278.40 = 3,800.80/x
  3. Step 3: Cross multiply
    8,184.40x = 12,278.40 × 3,800.80
  4. Step 4: Simplify right side
    8,184.40x = 46,667,742.72
  5. Step 5: Solve for x
    x = 46,667,742.72/8,184.40
  6. Step 6: Final answer
    x = 5,702.04

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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.