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Finding the Fourth Proportional to 8,127.72, 12,192.03 and 2,581.50

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Solution

The fourth proportional to 8,127.72, 12,192.03 and 2,581.50 is: 3,872.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,127.72 : 12,192.03 = 2,581.50 : x
  2. Step 2: Convert to fraction form
    8,127.72/12,192.03 = 2,581.50/x
  3. Step 3: Cross multiply
    8,127.72x = 12,192.03 × 2,581.50
  4. Step 4: Simplify right side
    8,127.72x = 31,473,725.45
  5. Step 5: Solve for x
    x = 31,473,725.45/8,127.72
  6. Step 6: Final answer
    x = 3,872.39

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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.