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Finding the Fourth Proportional to 7,761.72, 10,709.65 and 5,367.98

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Solution

The fourth proportional to 7,761.72, 10,709.65 and 5,367.98 is: 7,406.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,761.72 : 10,709.65 = 5,367.98 : x
  2. Step 2: Convert to fraction form
    7,761.72/10,709.65 = 5,367.98/x
  3. Step 3: Cross multiply
    7,761.72x = 10,709.65 × 5,367.98
  4. Step 4: Simplify right side
    7,761.72x = 57,489,187.01
  5. Step 5: Solve for x
    x = 57,489,187.01/7,761.72
  6. Step 6: Final answer
    x = 7,406.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.