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Finding the Fourth Proportional to 10,768.12, 16,153.80 and 3,841

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Solution

The fourth proportional to 10,768.12, 16,153.80 and 3,841 is: 5,762.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,768.12 : 16,153.80 = 3,841 : x
  2. Step 2: Convert to fraction form
    10,768.12/16,153.80 = 3,841/x
  3. Step 3: Cross multiply
    10,768.12x = 16,153.80 × 3,841
  4. Step 4: Simplify right side
    10,768.12x = 62,046,745.80
  5. Step 5: Solve for x
    x = 62,046,745.80/10,768.12
  6. Step 6: Final answer
    x = 5,762.08

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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.