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Finding the Fourth Proportional to 8,431.48, 12,648.59 and 3,166.90

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Solution

The fourth proportional to 8,431.48, 12,648.59 and 3,166.90 is: 4,750.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,431.48 : 12,648.59 = 3,166.90 : x
  2. Step 2: Convert to fraction form
    8,431.48/12,648.59 = 3,166.90/x
  3. Step 3: Cross multiply
    8,431.48x = 12,648.59 × 3,166.90
  4. Step 4: Simplify right side
    8,431.48x = 40,056,819.67
  5. Step 5: Solve for x
    x = 40,056,819.67/8,431.48
  6. Step 6: Final answer
    x = 4,750.86

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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.