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Finding the Fourth Proportional to 6,830.57, 10,249.83 and 2,881.58

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Solution

The fourth proportional to 6,830.57, 10,249.83 and 2,881.58 is: 4,324.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,830.57 : 10,249.83 = 2,881.58 : x
  2. Step 2: Convert to fraction form
    6,830.57/10,249.83 = 2,881.58/x
  3. Step 3: Cross multiply
    6,830.57x = 10,249.83 × 2,881.58
  4. Step 4: Simplify right side
    6,830.57x = 29,535,639.47
  5. Step 5: Solve for x
    x = 29,535,639.47/6,830.57
  6. Step 6: Final answer
    x = 4,324.04

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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.