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Finding the Fourth Proportional to 10,761.63, 16,139.47 and 7,632.42

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Solution

The fourth proportional to 10,761.63, 16,139.47 and 7,632.42 is: 11,446.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,761.63 : 16,139.47 = 7,632.42 : x
  2. Step 2: Convert to fraction form
    10,761.63/16,139.47 = 7,632.42/x
  3. Step 3: Cross multiply
    10,761.63x = 16,139.47 × 7,632.42
  4. Step 4: Simplify right side
    10,761.63x = 123,183,213.62
  5. Step 5: Solve for x
    x = 123,183,213.62/10,761.63
  6. Step 6: Final answer
    x = 11,446.52

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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.