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Finding the Fourth Proportional to 8,178.17, 12,267.79 and 2,982.65

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Solution

The fourth proportional to 8,178.17, 12,267.79 and 2,982.65 is: 4,474.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,178.17 : 12,267.79 = 2,982.65 : x
  2. Step 2: Convert to fraction form
    8,178.17/12,267.79 = 2,982.65/x
  3. Step 3: Cross multiply
    8,178.17x = 12,267.79 × 2,982.65
  4. Step 4: Simplify right side
    8,178.17x = 36,590,455.05
  5. Step 5: Solve for x
    x = 36,590,455.05/8,178.17
  6. Step 6: Final answer
    x = 4,474.16

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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.