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Finding the Fourth Proportional to 8,127.49, 12,179.53 and 4,787.86

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Solution

The fourth proportional to 8,127.49, 12,179.53 and 4,787.86 is: 7,174.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,127.49 : 12,179.53 = 4,787.86 : x
  2. Step 2: Convert to fraction form
    8,127.49/12,179.53 = 4,787.86/x
  3. Step 3: Cross multiply
    8,127.49x = 12,179.53 × 4,787.86
  4. Step 4: Simplify right side
    8,127.49x = 58,313,882.88
  5. Step 5: Solve for x
    x = 58,313,882.88/8,127.49
  6. Step 6: Final answer
    x = 7,174.89

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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.