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Finding the Fourth Proportional to 6,757.50, 10,087.34 and 5,838.96

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Solution

The fourth proportional to 6,757.50, 10,087.34 and 5,838.96 is: 8,716.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,757.50 : 10,087.34 = 5,838.96 : x
  2. Step 2: Convert to fraction form
    6,757.50/10,087.34 = 5,838.96/x
  3. Step 3: Cross multiply
    6,757.50x = 10,087.34 × 5,838.96
  4. Step 4: Simplify right side
    6,757.50x = 58,899,574.77
  5. Step 5: Solve for x
    x = 58,899,574.77/6,757.50
  6. Step 6: Final answer
    x = 8,716.18

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.