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Finding the Fourth Proportional to 6,881.17, 10,321.79 and 1,687.05

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Solution

The fourth proportional to 6,881.17, 10,321.79 and 1,687.05 is: 2,530.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,881.17 : 10,321.79 = 1,687.05 : x
  2. Step 2: Convert to fraction form
    6,881.17/10,321.79 = 1,687.05/x
  3. Step 3: Cross multiply
    6,881.17x = 10,321.79 × 1,687.05
  4. Step 4: Simplify right side
    6,881.17x = 17,413,375.82
  5. Step 5: Solve for x
    x = 17,413,375.82/6,881.17
  6. Step 6: Final answer
    x = 2,530.58

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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.