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Finding the Fourth Proportional to 11,402.36, 15,731.34 and 8,424.44

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Solution

The fourth proportional to 11,402.36, 15,731.34 and 8,424.44 is: 11,622.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,402.36 : 15,731.34 = 8,424.44 : x
  2. Step 2: Convert to fraction form
    11,402.36/15,731.34 = 8,424.44/x
  3. Step 3: Cross multiply
    11,402.36x = 15,731.34 × 8,424.44
  4. Step 4: Simplify right side
    11,402.36x = 132,527,729.95
  5. Step 5: Solve for x
    x = 132,527,729.95/11,402.36
  6. Step 6: Final answer
    x = 11,622.83

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