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Finding the Fourth Proportional to 8,127.09, 12,189.58 and 3,449

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Solution

The fourth proportional to 8,127.09, 12,189.58 and 3,449 is: 5,173.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,127.09 : 12,189.58 = 3,449 : x
  2. Step 2: Convert to fraction form
    8,127.09/12,189.58 = 3,449/x
  3. Step 3: Cross multiply
    8,127.09x = 12,189.58 × 3,449
  4. Step 4: Simplify right side
    8,127.09x = 42,041,861.42
  5. Step 5: Solve for x
    x = 42,041,861.42/8,127.09
  6. Step 6: Final answer
    x = 5,173.05

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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.