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Finding the Fourth Proportional to 10,761.90, 16,140.21 and 3,836.46

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Solution

The fourth proportional to 10,761.90, 16,140.21 and 3,836.46 is: 5,753.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,761.90 : 16,140.21 = 3,836.46 : x
  2. Step 2: Convert to fraction form
    10,761.90/16,140.21 = 3,836.46/x
  3. Step 3: Cross multiply
    10,761.90x = 16,140.21 × 3,836.46
  4. Step 4: Simplify right side
    10,761.90x = 61,921,270.06
  5. Step 5: Solve for x
    x = 61,921,270.06/10,761.90
  6. Step 6: Final answer
    x = 5,753.75

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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.