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Finding the Fourth Proportional to 7,178.26, 10,766.17 and 1,984.15

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Solution

The fourth proportional to 7,178.26, 10,766.17 and 1,984.15 is: 2,975.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,178.26 : 10,766.17 = 1,984.15 : x
  2. Step 2: Convert to fraction form
    7,178.26/10,766.17 = 1,984.15/x
  3. Step 3: Cross multiply
    7,178.26x = 10,766.17 × 1,984.15
  4. Step 4: Simplify right side
    7,178.26x = 21,361,632.45
  5. Step 5: Solve for x
    x = 21,361,632.45/7,178.26
  6. Step 6: Final answer
    x = 2,975.88

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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.