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Finding the Fourth Proportional to 6,834.36, 10,214.10 and 4,989.36

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Solution

The fourth proportional to 6,834.36, 10,214.10 and 4,989.36 is: 7,456.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,834.36 : 10,214.10 = 4,989.36 : x
  2. Step 2: Convert to fraction form
    6,834.36/10,214.10 = 4,989.36/x
  3. Step 3: Cross multiply
    6,834.36x = 10,214.10 × 4,989.36
  4. Step 4: Simplify right side
    6,834.36x = 50,961,860.28
  5. Step 5: Solve for x
    x = 50,961,860.28/6,834.36
  6. Step 6: Final answer
    x = 7,456.71

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.