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Finding the Fourth Proportional to 10,822.87, 16,235.92 and 3,801.64

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Solution

The fourth proportional to 10,822.87, 16,235.92 and 3,801.64 is: 5,703.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,822.87 : 16,235.92 = 3,801.64 : x
  2. Step 2: Convert to fraction form
    10,822.87/16,235.92 = 3,801.64/x
  3. Step 3: Cross multiply
    10,822.87x = 16,235.92 × 3,801.64
  4. Step 4: Simplify right side
    10,822.87x = 61,723,122.91
  5. Step 5: Solve for x
    x = 61,723,122.91/10,822.87
  6. Step 6: Final answer
    x = 5,703.03

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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.