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Finding the Fourth Proportional to 8,117.65, 12,167.73 and 3,960.46

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Solution

The fourth proportional to 8,117.65, 12,167.73 and 3,960.46 is: 5,936.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,117.65 : 12,167.73 = 3,960.46 : x
  2. Step 2: Convert to fraction form
    8,117.65/12,167.73 = 3,960.46/x
  3. Step 3: Cross multiply
    8,117.65x = 12,167.73 × 3,960.46
  4. Step 4: Simplify right side
    8,117.65x = 48,189,807.96
  5. Step 5: Solve for x
    x = 48,189,807.96/8,117.65
  6. Step 6: Final answer
    x = 5,936.42

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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.