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Finding the Fourth Proportional to 7,228.02, 10,842.02 and 2,297.94

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Solution

The fourth proportional to 7,228.02, 10,842.02 and 2,297.94 is: 3,446.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,228.02 : 10,842.02 = 2,297.94 : x
  2. Step 2: Convert to fraction form
    7,228.02/10,842.02 = 2,297.94/x
  3. Step 3: Cross multiply
    7,228.02x = 10,842.02 × 2,297.94
  4. Step 4: Simplify right side
    7,228.02x = 24,914,311.44
  5. Step 5: Solve for x
    x = 24,914,311.44/7,228.02
  6. Step 6: Final answer
    x = 3,446.91

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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.