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Finding the Fourth Proportional to 8,546.44, 12,827.87 and 4,166.97

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Solution

The fourth proportional to 8,546.44, 12,827.87 and 4,166.97 is: 6,254.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,546.44 : 12,827.87 = 4,166.97 : x
  2. Step 2: Convert to fraction form
    8,546.44/12,827.87 = 4,166.97/x
  3. Step 3: Cross multiply
    8,546.44x = 12,827.87 × 4,166.97
  4. Step 4: Simplify right side
    8,546.44x = 53,453,349.45
  5. Step 5: Solve for x
    x = 53,453,349.45/8,546.44
  6. Step 6: Final answer
    x = 6,254.46

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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.