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Finding the Fourth Proportional to 6,872.34, 10,308.41 and 1,678.26

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Solution

The fourth proportional to 6,872.34, 10,308.41 and 1,678.26 is: 2,517.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,872.34 : 10,308.41 = 1,678.26 : x
  2. Step 2: Convert to fraction form
    6,872.34/10,308.41 = 1,678.26/x
  3. Step 3: Cross multiply
    6,872.34x = 10,308.41 × 1,678.26
  4. Step 4: Simplify right side
    6,872.34x = 17,300,144.82
  5. Step 5: Solve for x
    x = 17,300,144.82/6,872.34
  6. Step 6: Final answer
    x = 2,517.36

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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.