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Finding the Fourth Proportional to 10,684.41, 14,744.94 and 5,968.69

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Solution

The fourth proportional to 10,684.41, 14,744.94 and 5,968.69 is: 8,237.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,684.41 : 14,744.94 = 5,968.69 : x
  2. Step 2: Convert to fraction form
    10,684.41/14,744.94 = 5,968.69/x
  3. Step 3: Cross multiply
    10,684.41x = 14,744.94 × 5,968.69
  4. Step 4: Simplify right side
    10,684.41x = 88,007,916.68
  5. Step 5: Solve for x
    x = 88,007,916.68/10,684.41
  6. Step 6: Final answer
    x = 8,237.04

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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.