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Finding the Fourth Proportional to 6,983.36, 10,472.36 and 2,821.92

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Solution

The fourth proportional to 6,983.36, 10,472.36 and 2,821.92 is: 4,231.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,983.36 : 10,472.36 = 2,821.92 : x
  2. Step 2: Convert to fraction form
    6,983.36/10,472.36 = 2,821.92/x
  3. Step 3: Cross multiply
    6,983.36x = 10,472.36 × 2,821.92
  4. Step 4: Simplify right side
    6,983.36x = 29,552,162.13
  5. Step 5: Solve for x
    x = 29,552,162.13/6,983.36
  6. Step 6: Final answer
    x = 4,231.80

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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.