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Finding the Fourth Proportional to 10,917.38, 16,375.20 and 3,897.08

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Solution

The fourth proportional to 10,917.38, 16,375.20 and 3,897.08 is: 5,845.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,917.38 : 16,375.20 = 3,897.08 : x
  2. Step 2: Convert to fraction form
    10,917.38/16,375.20 = 3,897.08/x
  3. Step 3: Cross multiply
    10,917.38x = 16,375.20 × 3,897.08
  4. Step 4: Simplify right side
    10,917.38x = 63,815,464.42
  5. Step 5: Solve for x
    x = 63,815,464.42/10,917.38
  6. Step 6: Final answer
    x = 5,845.31

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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.