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Finding the Fourth Proportional to 8,112.59, 12,169.74 and 3,433.07

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Solution

The fourth proportional to 8,112.59, 12,169.74 and 3,433.07 is: 5,149.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,112.59 : 12,169.74 = 3,433.07 : x
  2. Step 2: Convert to fraction form
    8,112.59/12,169.74 = 3,433.07/x
  3. Step 3: Cross multiply
    8,112.59x = 12,169.74 × 3,433.07
  4. Step 4: Simplify right side
    8,112.59x = 41,779,508.45
  5. Step 5: Solve for x
    x = 41,779,508.45/8,112.59
  6. Step 6: Final answer
    x = 5,149.96

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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.