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Finding the Fourth Proportional to 8,179.80, 12,262.29 and 2,982

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Solution

The fourth proportional to 8,179.80, 12,262.29 and 2,982 is: 4,470.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,179.80 : 12,262.29 = 2,982 : x
  2. Step 2: Convert to fraction form
    8,179.80/12,262.29 = 2,982/x
  3. Step 3: Cross multiply
    8,179.80x = 12,262.29 × 2,982
  4. Step 4: Simplify right side
    8,179.80x = 36,566,148.78
  5. Step 5: Solve for x
    x = 36,566,148.78/8,179.80
  6. Step 6: Final answer
    x = 4,470.30

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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.