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Finding the Fourth Proportional to 10,684.41, 14,744.72 and 5,968.70

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Solution

The fourth proportional to 10,684.41, 14,744.72 and 5,968.70 is: 8,236.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,684.41 : 14,744.72 = 5,968.70 : x
  2. Step 2: Convert to fraction form
    10,684.41/14,744.72 = 5,968.70/x
  3. Step 3: Cross multiply
    10,684.41x = 14,744.72 × 5,968.70
  4. Step 4: Simplify right side
    10,684.41x = 88,006,810.26
  5. Step 5: Solve for x
    x = 88,006,810.26/10,684.41
  6. Step 6: Final answer
    x = 8,236.94

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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.