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Finding the Fourth Proportional to 8,176.79, 12,267 and 2,982.66

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Solution

The fourth proportional to 8,176.79, 12,267 and 2,982.66 is: 4,474.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,176.79 : 12,267 = 2,982.66 : x
  2. Step 2: Convert to fraction form
    8,176.79/12,267 = 2,982.66/x
  3. Step 3: Cross multiply
    8,176.79x = 12,267 × 2,982.66
  4. Step 4: Simplify right side
    8,176.79x = 36,588,290.22
  5. Step 5: Solve for x
    x = 36,588,290.22/8,176.79
  6. Step 6: Final answer
    x = 4,474.65

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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.