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Finding the Fourth Proportional to 6,833.66, 10,249.00 and 2,153.07

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Solution

The fourth proportional to 6,833.66, 10,249.00 and 2,153.07 is: 3,229.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,833.66 : 10,249.00 = 2,153.07 : x
  2. Step 2: Convert to fraction form
    6,833.66/10,249.00 = 2,153.07/x
  3. Step 3: Cross multiply
    6,833.66x = 10,249.00 × 2,153.07
  4. Step 4: Simplify right side
    6,833.66x = 22,066,809.05
  5. Step 5: Solve for x
    x = 22,066,809.05/6,833.66
  6. Step 6: Final answer
    x = 3,229.14

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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.