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Finding the Fourth Proportional to 8,427.78, 12,641.97 and 3,162.26

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Solution

The fourth proportional to 8,427.78, 12,641.97 and 3,162.26 is: 4,743.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,427.78 : 12,641.97 = 3,162.26 : x
  2. Step 2: Convert to fraction form
    8,427.78/12,641.97 = 3,162.26/x
  3. Step 3: Cross multiply
    8,427.78x = 12,641.97 × 3,162.26
  4. Step 4: Simplify right side
    8,427.78x = 39,977,196.05
  5. Step 5: Solve for x
    x = 39,977,196.05/8,427.78
  6. Step 6: Final answer
    x = 4,743.50

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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.