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Finding the Fourth Proportional to 7,757.64, 10,708.00 and 5,986.17

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Solution

The fourth proportional to 7,757.64, 10,708.00 and 5,986.17 is: 8,262.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,757.64 : 10,708.00 = 5,986.17 : x
  2. Step 2: Convert to fraction form
    7,757.64/10,708.00 = 5,986.17/x
  3. Step 3: Cross multiply
    7,757.64x = 10,708.00 × 5,986.17
  4. Step 4: Simplify right side
    7,757.64x = 64,099,893.39
  5. Step 5: Solve for x
    x = 64,099,893.39/7,757.64
  6. Step 6: Final answer
    x = 8,262.81

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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.