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Finding the Fourth Proportional to 8,186.46, 12,279.68 and 2,640.63

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Solution

The fourth proportional to 8,186.46, 12,279.68 and 2,640.63 is: 3,960.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,186.46 : 12,279.68 = 2,640.63 : x
  2. Step 2: Convert to fraction form
    8,186.46/12,279.68 = 2,640.63/x
  3. Step 3: Cross multiply
    8,186.46x = 12,279.68 × 2,640.63
  4. Step 4: Simplify right side
    8,186.46x = 32,426,091.40
  5. Step 5: Solve for x
    x = 32,426,091.40/8,186.46
  6. Step 6: Final answer
    x = 3,960.94

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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.