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Finding the Fourth Proportional to 6,801.27, 10,193.70 and 3,512.57

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Solution

The fourth proportional to 6,801.27, 10,193.70 and 3,512.57 is: 5,264.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,801.27 : 10,193.70 = 3,512.57 : x
  2. Step 2: Convert to fraction form
    6,801.27/10,193.70 = 3,512.57/x
  3. Step 3: Cross multiply
    6,801.27x = 10,193.70 × 3,512.57
  4. Step 4: Simplify right side
    6,801.27x = 35,806,084.81
  5. Step 5: Solve for x
    x = 35,806,084.81/6,801.27
  6. Step 6: Final answer
    x = 5,264.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.