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Finding the Fourth Proportional to 7,950, 11,926.31 and 3,268.74

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Solution

The fourth proportional to 7,950, 11,926.31 and 3,268.74 is: 4,903.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,950 : 11,926.31 = 3,268.74 : x
  2. Step 2: Convert to fraction form
    7,950/11,926.31 = 3,268.74/x
  3. Step 3: Cross multiply
    7,950x = 11,926.31 × 3,268.74
  4. Step 4: Simplify right side
    7,950x = 38,983,990.21
  5. Step 5: Solve for x
    x = 38,983,990.21/7,950
  6. Step 6: Final answer
    x = 4,903.65

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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.