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Finding the Fourth Proportional to 11,105.31, 15,326.20 and 6,325.46

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Solution

The fourth proportional to 11,105.31, 15,326.20 and 6,325.46 is: 8,729.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,105.31 : 15,326.20 = 6,325.46 : x
  2. Step 2: Convert to fraction form
    11,105.31/15,326.20 = 6,325.46/x
  3. Step 3: Cross multiply
    11,105.31x = 15,326.20 × 6,325.46
  4. Step 4: Simplify right side
    11,105.31x = 96,945,188.42
  5. Step 5: Solve for x
    x = 96,945,188.42/11,105.31
  6. Step 6: Final answer
    x = 8,729.62

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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.