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Finding the Fourth Proportional to 10,685.34, 14,744.70 and 5,968.71

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Solution

The fourth proportional to 10,685.34, 14,744.70 and 5,968.71 is: 8,236.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,685.34 : 14,744.70 = 5,968.71 : x
  2. Step 2: Convert to fraction form
    10,685.34/14,744.70 = 5,968.71/x
  3. Step 3: Cross multiply
    10,685.34x = 14,744.70 × 5,968.71
  4. Step 4: Simplify right side
    10,685.34x = 88,006,838.34
  5. Step 5: Solve for x
    x = 88,006,838.34/10,685.34
  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.