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Finding the Fourth Proportional to 10,917.45, 16,379.64 and 3,897.31

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Solution

The fourth proportional to 10,917.45, 16,379.64 and 3,897.31 is: 5,847.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,917.45 : 16,379.64 = 3,897.31 : x
  2. Step 2: Convert to fraction form
    10,917.45/16,379.64 = 3,897.31/x
  3. Step 3: Cross multiply
    10,917.45x = 16,379.64 × 3,897.31
  4. Step 4: Simplify right side
    10,917.45x = 63,836,540.63
  5. Step 5: Solve for x
    x = 63,836,540.63/10,917.45
  6. Step 6: Final answer
    x = 5,847.20

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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.