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Finding the Fourth Proportional to 10,683.59, 14,743.62 and 5,968.17

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Solution

The fourth proportional to 10,683.59, 14,743.62 and 5,968.17 is: 8,236.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,683.59 : 14,743.62 = 5,968.17 : x
  2. Step 2: Convert to fraction form
    10,683.59/14,743.62 = 5,968.17/x
  3. Step 3: Cross multiply
    10,683.59x = 14,743.62 × 5,968.17
  4. Step 4: Simplify right side
    10,683.59x = 87,992,430.58
  5. Step 5: Solve for x
    x = 87,992,430.58/10,683.59
  6. Step 6: Final answer
    x = 8,236.23

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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.