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Finding the Fourth Proportional to 10,683.57, 14,743.62 and 5,968.16

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Solution

The fourth proportional to 10,683.57, 14,743.62 and 5,968.16 is: 8,236.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,683.57 : 14,743.62 = 5,968.16 : x
  2. Step 2: Convert to fraction form
    10,683.57/14,743.62 = 5,968.16/x
  3. Step 3: Cross multiply
    10,683.57x = 14,743.62 × 5,968.16
  4. Step 4: Simplify right side
    10,683.57x = 87,992,209.42
  5. Step 5: Solve for x
    x = 87,992,209.42/10,683.57
  6. Step 6: Final answer
    x = 8,236.22

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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.