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Finding the Fourth Proportional to 10,683, 14,742.18 and 5,967.18

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Solution

The fourth proportional to 10,683, 14,742.18 and 5,967.18 is: 8,234.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,683 : 14,742.18 = 5,967.18 : x
  2. Step 2: Convert to fraction form
    10,683/14,742.18 = 5,967.18/x
  3. Step 3: Cross multiply
    10,683x = 14,742.18 × 5,967.18
  4. Step 4: Simplify right side
    10,683x = 87,969,241.65
  5. Step 5: Solve for x
    x = 87,969,241.65/10,683
  6. Step 6: Final answer
    x = 8,234.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.