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Finding the Fourth Proportional to 7,957.96, 11,938.76 and 4,263.77

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Solution

The fourth proportional to 7,957.96, 11,938.76 and 4,263.77 is: 6,396.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,957.96 : 11,938.76 = 4,263.77 : x
  2. Step 2: Convert to fraction form
    7,957.96/11,938.76 = 4,263.77/x
  3. Step 3: Cross multiply
    7,957.96x = 11,938.76 × 4,263.77
  4. Step 4: Simplify right side
    7,957.96x = 50,904,126.73
  5. Step 5: Solve for x
    x = 50,904,126.73/7,957.96
  6. Step 6: Final answer
    x = 6,396.63

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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.