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Finding the Fourth Proportional to 7,168.64, 10,761.60 and 4,265.60

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Solution

The fourth proportional to 7,168.64, 10,761.60 and 4,265.60 is: 6,403.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,168.64 : 10,761.60 = 4,265.60 : x
  2. Step 2: Convert to fraction form
    7,168.64/10,761.60 = 4,265.60/x
  3. Step 3: Cross multiply
    7,168.64x = 10,761.60 × 4,265.60
  4. Step 4: Simplify right side
    7,168.64x = 45,904,680.96
  5. Step 5: Solve for x
    x = 45,904,680.96/7,168.64
  6. Step 6: Final answer
    x = 6,403.54

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Why These Related Problems?

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