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Finding the Fourth Proportional to 8,127.68, 12,195.20 and 3,448.96

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Solution

The fourth proportional to 8,127.68, 12,195.20 and 3,448.96 is: 5,175.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,127.68 : 12,195.20 = 3,448.96 : x
  2. Step 2: Convert to fraction form
    8,127.68/12,195.20 = 3,448.96/x
  3. Step 3: Cross multiply
    8,127.68x = 12,195.20 × 3,448.96
  4. Step 4: Simplify right side
    8,127.68x = 42,060,756.99
  5. Step 5: Solve for x
    x = 42,060,756.99/8,127.68
  6. Step 6: Final answer
    x = 5,175.00

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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.