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Finding the Fourth Proportional to 6,781.62, 10,177.64 and 3,034.56

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Solution

The fourth proportional to 6,781.62, 10,177.64 and 3,034.56 is: 4,554.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,781.62 : 10,177.64 = 3,034.56 : x
  2. Step 2: Convert to fraction form
    6,781.62/10,177.64 = 3,034.56/x
  3. Step 3: Cross multiply
    6,781.62x = 10,177.64 × 3,034.56
  4. Step 4: Simplify right side
    6,781.62x = 30,884,644.07
  5. Step 5: Solve for x
    x = 30,884,644.07/6,781.62
  6. Step 6: Final answer
    x = 4,554.17

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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.