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Finding the Fourth Proportional to 6,727.50, 10,092.87 and 2,110.50

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Solution

The fourth proportional to 6,727.50, 10,092.87 and 2,110.50 is: 3,166.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,727.50 : 10,092.87 = 2,110.50 : x
  2. Step 2: Convert to fraction form
    6,727.50/10,092.87 = 2,110.50/x
  3. Step 3: Cross multiply
    6,727.50x = 10,092.87 × 2,110.50
  4. Step 4: Simplify right side
    6,727.50x = 21,301,002.14
  5. Step 5: Solve for x
    x = 21,301,002.14/6,727.50
  6. Step 6: Final answer
    x = 3,166.26

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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.