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Finding the Fourth Proportional to 6,960.60, 10,426.97 and 4,185.74

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Solution

The fourth proportional to 6,960.60, 10,426.97 and 4,185.74 is: 6,270.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,960.60 : 10,426.97 = 4,185.74 : x
  2. Step 2: Convert to fraction form
    6,960.60/10,426.97 = 4,185.74/x
  3. Step 3: Cross multiply
    6,960.60x = 10,426.97 × 4,185.74
  4. Step 4: Simplify right side
    6,960.60x = 43,644,585.41
  5. Step 5: Solve for x
    x = 43,644,585.41/6,960.60
  6. Step 6: Final answer
    x = 6,270.23

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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.