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Finding the Fourth Proportional to 10,775.02, 16,149.09 and 3,841.90

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Solution

The fourth proportional to 10,775.02, 16,149.09 and 3,841.90 is: 5,758.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,775.02 : 16,149.09 = 3,841.90 : x
  2. Step 2: Convert to fraction form
    10,775.02/16,149.09 = 3,841.90/x
  3. Step 3: Cross multiply
    10,775.02x = 16,149.09 × 3,841.90
  4. Step 4: Simplify right side
    10,775.02x = 62,043,188.87
  5. Step 5: Solve for x
    x = 62,043,188.87/10,775.02
  6. Step 6: Final answer
    x = 5,758.06

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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.