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Finding the Fourth Proportional to 6,882.05, 10,323.13 and 1,687.93

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Solution

The fourth proportional to 6,882.05, 10,323.13 and 1,687.93 is: 2,531.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,882.05 : 10,323.13 = 1,687.93 : x
  2. Step 2: Convert to fraction form
    6,882.05/10,323.13 = 1,687.93/x
  3. Step 3: Cross multiply
    6,882.05x = 10,323.13 × 1,687.93
  4. Step 4: Simplify right side
    6,882.05x = 17,424,720.82
  5. Step 5: Solve for x
    x = 17,424,720.82/6,882.05
  6. Step 6: Final answer
    x = 2,531.91

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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.