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Finding the Fourth Proportional to 8,269.86, 12,412.08 and 3,343.05

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Solution

The fourth proportional to 8,269.86, 12,412.08 and 3,343.05 is: 5,017.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,269.86 : 12,412.08 = 3,343.05 : x
  2. Step 2: Convert to fraction form
    8,269.86/12,412.08 = 3,343.05/x
  3. Step 3: Cross multiply
    8,269.86x = 12,412.08 × 3,343.05
  4. Step 4: Simplify right side
    8,269.86x = 41,494,204.04
  5. Step 5: Solve for x
    x = 41,494,204.04/8,269.86
  6. Step 6: Final answer
    x = 5,017.52

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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.