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Finding the Fourth Proportional to 8,184.78, 12,279.21 and 2,341.44

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Solution

The fourth proportional to 8,184.78, 12,279.21 and 2,341.44 is: 3,512.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,184.78 : 12,279.21 = 2,341.44 : x
  2. Step 2: Convert to fraction form
    8,184.78/12,279.21 = 2,341.44/x
  3. Step 3: Cross multiply
    8,184.78x = 12,279.21 × 2,341.44
  4. Step 4: Simplify right side
    8,184.78x = 28,751,033.46
  5. Step 5: Solve for x
    x = 28,751,033.46/8,184.78
  6. Step 6: Final answer
    x = 3,512.74

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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.