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Finding the Fourth Proportional to 7,707.77, 11,531.23 and 5,939.37

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Solution

The fourth proportional to 7,707.77, 11,531.23 and 5,939.37 is: 8,885.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,707.77 : 11,531.23 = 5,939.37 : x
  2. Step 2: Convert to fraction form
    7,707.77/11,531.23 = 5,939.37/x
  3. Step 3: Cross multiply
    7,707.77x = 11,531.23 × 5,939.37
  4. Step 4: Simplify right side
    7,707.77x = 68,488,241.53
  5. Step 5: Solve for x
    x = 68,488,241.53/7,707.77
  6. Step 6: Final answer
    x = 8,885.61

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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.