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Finding the Fourth Proportional to 10,926.46, 16,393.13 and 3,906.32

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Solution

The fourth proportional to 10,926.46, 16,393.13 and 3,906.32 is: 5,860.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,926.46 : 16,393.13 = 3,906.32 : x
  2. Step 2: Convert to fraction form
    10,926.46/16,393.13 = 3,906.32/x
  3. Step 3: Cross multiply
    10,926.46x = 16,393.13 × 3,906.32
  4. Step 4: Simplify right side
    10,926.46x = 64,036,724.73
  5. Step 5: Solve for x
    x = 64,036,724.73/10,926.46
  6. Step 6: Final answer
    x = 5,860.70

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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.