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Finding the Fourth Proportional to 7,950, 11,926.26 and 2,402.67

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Solution

The fourth proportional to 7,950, 11,926.26 and 2,402.67 is: 3,604.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,950 : 11,926.26 = 2,402.67 : x
  2. Step 2: Convert to fraction form
    7,950/11,926.26 = 2,402.67/x
  3. Step 3: Cross multiply
    7,950x = 11,926.26 × 2,402.67
  4. Step 4: Simplify right side
    7,950x = 28,654,867.11
  5. Step 5: Solve for x
    x = 28,654,867.11/7,950
  6. Step 6: Final answer
    x = 3,604.39

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