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Finding the Fourth Proportional to 6,765.43, 10,148.72 and 1,768.47

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Solution

The fourth proportional to 6,765.43, 10,148.72 and 1,768.47 is: 2,652.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,765.43 : 10,148.72 = 1,768.47 : x
  2. Step 2: Convert to fraction form
    6,765.43/10,148.72 = 1,768.47/x
  3. Step 3: Cross multiply
    6,765.43x = 10,148.72 × 1,768.47
  4. Step 4: Simplify right side
    6,765.43x = 17,947,706.86
  5. Step 5: Solve for x
    x = 17,947,706.86/6,765.43
  6. Step 6: Final answer
    x = 2,652.86

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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.