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Finding the Fourth Proportional to 6,781.99, 10,174.56 and 2,101.75

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Solution

The fourth proportional to 6,781.99, 10,174.56 and 2,101.75 is: 3,153.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,781.99 : 10,174.56 = 2,101.75 : x
  2. Step 2: Convert to fraction form
    6,781.99/10,174.56 = 2,101.75/x
  3. Step 3: Cross multiply
    6,781.99x = 10,174.56 × 2,101.75
  4. Step 4: Simplify right side
    6,781.99x = 21,384,381.48
  5. Step 5: Solve for x
    x = 21,384,381.48/6,781.99
  6. Step 6: Final answer
    x = 3,153.11

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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.