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Finding the Fourth Proportional to 6,761.99, 10,135.79 and 3,989.96

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Solution

The fourth proportional to 6,761.99, 10,135.79 and 3,989.96 is: 5,980.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,761.99 : 10,135.79 = 3,989.96 : x
  2. Step 2: Convert to fraction form
    6,761.99/10,135.79 = 3,989.96/x
  3. Step 3: Cross multiply
    6,761.99x = 10,135.79 × 3,989.96
  4. Step 4: Simplify right side
    6,761.99x = 40,441,326.04
  5. Step 5: Solve for x
    x = 40,441,326.04/6,761.99
  6. Step 6: Final answer
    x = 5,980.69

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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.