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Finding the Fourth Proportional to 8,470.56, 12,706.15 and 2,627.02

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Solution

The fourth proportional to 8,470.56, 12,706.15 and 2,627.02 is: 3,940.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,470.56 : 12,706.15 = 2,627.02 : x
  2. Step 2: Convert to fraction form
    8,470.56/12,706.15 = 2,627.02/x
  3. Step 3: Cross multiply
    8,470.56x = 12,706.15 × 2,627.02
  4. Step 4: Simplify right side
    8,470.56x = 33,379,310.17
  5. Step 5: Solve for x
    x = 33,379,310.17/8,470.56
  6. Step 6: Final answer
    x = 3,940.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.