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Finding the Fourth Proportional to 8,429.70, 12,641.31 and 3,496.80

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Solution

The fourth proportional to 8,429.70, 12,641.31 and 3,496.80 is: 5,243.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,429.70 : 12,641.31 = 3,496.80 : x
  2. Step 2: Convert to fraction form
    8,429.70/12,641.31 = 3,496.80/x
  3. Step 3: Cross multiply
    8,429.70x = 12,641.31 × 3,496.80
  4. Step 4: Simplify right side
    8,429.70x = 44,204,132.81
  5. Step 5: Solve for x
    x = 44,204,132.81/8,429.70
  6. Step 6: Final answer
    x = 5,243.86

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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.