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Finding the Fourth Proportional to 7,496.81, 11,250.84 and 2,821.43

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Solution

The fourth proportional to 7,496.81, 11,250.84 and 2,821.43 is: 4,234.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,496.81 : 11,250.84 = 2,821.43 : x
  2. Step 2: Convert to fraction form
    7,496.81/11,250.84 = 2,821.43/x
  3. Step 3: Cross multiply
    7,496.81x = 11,250.84 × 2,821.43
  4. Step 4: Simplify right side
    7,496.81x = 31,743,457.50
  5. Step 5: Solve for x
    x = 31,743,457.50/7,496.81
  6. Step 6: Final answer
    x = 4,234.26

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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.