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Finding the Fourth Proportional to 6,763.92, 10,146.86 and 2,084.34

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Solution

The fourth proportional to 6,763.92, 10,146.86 and 2,084.34 is: 3,126.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,763.92 : 10,146.86 = 2,084.34 : x
  2. Step 2: Convert to fraction form
    6,763.92/10,146.86 = 2,084.34/x
  3. Step 3: Cross multiply
    6,763.92x = 10,146.86 × 2,084.34
  4. Step 4: Simplify right side
    6,763.92x = 21,149,506.17
  5. Step 5: Solve for x
    x = 21,149,506.17/6,763.92
  6. Step 6: Final answer
    x = 3,126.81

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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.