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Finding the Fourth Proportional to 10,913.36, 16,365.18 and 3,983

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Solution

The fourth proportional to 10,913.36, 16,365.18 and 3,983 is: 5,972.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,913.36 : 16,365.18 = 3,983 : x
  2. Step 2: Convert to fraction form
    10,913.36/16,365.18 = 3,983/x
  3. Step 3: Cross multiply
    10,913.36x = 16,365.18 × 3,983
  4. Step 4: Simplify right side
    10,913.36x = 65,182,511.94
  5. Step 5: Solve for x
    x = 65,182,511.94/10,913.36
  6. Step 6: Final answer
    x = 5,972.73

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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.