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Finding the Fourth Proportional to 7,214.50, 10,821.74 and 2,833.20

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Solution

The fourth proportional to 7,214.50, 10,821.74 and 2,833.20 is: 4,249.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,214.50 : 10,821.74 = 2,833.20 : x
  2. Step 2: Convert to fraction form
    7,214.50/10,821.74 = 2,833.20/x
  3. Step 3: Cross multiply
    7,214.50x = 10,821.74 × 2,833.20
  4. Step 4: Simplify right side
    7,214.50x = 30,660,153.77
  5. Step 5: Solve for x
    x = 30,660,153.77/7,214.50
  6. Step 6: Final answer
    x = 4,249.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.