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Finding the Fourth Proportional to 8,431.30, 12,648.31 and 3,166.71

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Solution

The fourth proportional to 8,431.30, 12,648.31 and 3,166.71 is: 4,750.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,431.30 : 12,648.31 = 3,166.71 : x
  2. Step 2: Convert to fraction form
    8,431.30/12,648.31 = 3,166.71/x
  3. Step 3: Cross multiply
    8,431.30x = 12,648.31 × 3,166.71
  4. Step 4: Simplify right side
    8,431.30x = 40,053,474.41
  5. Step 5: Solve for x
    x = 40,053,474.41/8,431.30
  6. Step 6: Final answer
    x = 4,750.57

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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.