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Finding the Fourth Proportional to 10,761.96, 16,141.71 and 3,740.76

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Solution

The fourth proportional to 10,761.96, 16,141.71 and 3,740.76 is: 5,610.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,761.96 : 16,141.71 = 3,740.76 : x
  2. Step 2: Convert to fraction form
    10,761.96/16,141.71 = 3,740.76/x
  3. Step 3: Cross multiply
    10,761.96x = 16,141.71 × 3,740.76
  4. Step 4: Simplify right side
    10,761.96x = 60,382,263.10
  5. Step 5: Solve for x
    x = 60,382,263.10/10,761.96
  6. Step 6: Final answer
    x = 5,610.71

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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.