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Finding the Fourth Proportional to 10,761.12, 16,143.30 and 3,834

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Solution

The fourth proportional to 10,761.12, 16,143.30 and 3,834 is: 5,751.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,761.12 : 16,143.30 = 3,834 : x
  2. Step 2: Convert to fraction form
    10,761.12/16,143.30 = 3,834/x
  3. Step 3: Cross multiply
    10,761.12x = 16,143.30 × 3,834
  4. Step 4: Simplify right side
    10,761.12x = 61,893,412.20
  5. Step 5: Solve for x
    x = 61,893,412.20/10,761.12
  6. Step 6: Final answer
    x = 5,751.58

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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.