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Finding the Fourth Proportional to 7,939.83, 10,957.38 and 4,402.98

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Solution

The fourth proportional to 7,939.83, 10,957.38 and 4,402.98 is: 6,076.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,939.83 : 10,957.38 = 4,402.98 : x
  2. Step 2: Convert to fraction form
    7,939.83/10,957.38 = 4,402.98/x
  3. Step 3: Cross multiply
    7,939.83x = 10,957.38 × 4,402.98
  4. Step 4: Simplify right side
    7,939.83x = 48,245,124.99
  5. Step 5: Solve for x
    x = 48,245,124.99/7,939.83
  6. Step 6: Final answer
    x = 6,076.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.