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Finding the Fourth Proportional to 7,238.16, 10,855.98 and 3,342.24

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Solution

The fourth proportional to 7,238.16, 10,855.98 and 3,342.24 is: 5,012.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,238.16 : 10,855.98 = 3,342.24 : x
  2. Step 2: Convert to fraction form
    7,238.16/10,855.98 = 3,342.24/x
  3. Step 3: Cross multiply
    7,238.16x = 10,855.98 × 3,342.24
  4. Step 4: Simplify right side
    7,238.16x = 36,283,290.60
  5. Step 5: Solve for x
    x = 36,283,290.60/7,238.16
  6. Step 6: Final answer
    x = 5,012.78

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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.