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Finding the Fourth Proportional to 7,727.41, 11,591.08 and 6,684.31

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Solution

The fourth proportional to 7,727.41, 11,591.08 and 6,684.31 is: 10,026.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,727.41 : 11,591.08 = 6,684.31 : x
  2. Step 2: Convert to fraction form
    7,727.41/11,591.08 = 6,684.31/x
  3. Step 3: Cross multiply
    7,727.41x = 11,591.08 × 6,684.31
  4. Step 4: Simplify right side
    7,727.41x = 77,478,371.95
  5. Step 5: Solve for x
    x = 77,478,371.95/7,727.41
  6. Step 6: Final answer
    x = 10,026.43

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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.