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Finding the Fourth Proportional to 6,882.93, 10,324.41 and 1,688.82

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Solution

The fourth proportional to 6,882.93, 10,324.41 and 1,688.82 is: 2,533.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,882.93 : 10,324.41 = 1,688.82 : x
  2. Step 2: Convert to fraction form
    6,882.93/10,324.41 = 1,688.82/x
  3. Step 3: Cross multiply
    6,882.93x = 10,324.41 × 1,688.82
  4. Step 4: Simplify right side
    6,882.93x = 17,436,070.10
  5. Step 5: Solve for x
    x = 17,436,070.10/6,882.93
  6. Step 6: Final answer
    x = 2,533.23

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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.