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Finding the Fourth Proportional to 7,424.73, 11,138.67 and 3,042.18

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Solution

The fourth proportional to 7,424.73, 11,138.67 and 3,042.18 is: 4,563.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,424.73 : 11,138.67 = 3,042.18 : x
  2. Step 2: Convert to fraction form
    7,424.73/11,138.67 = 3,042.18/x
  3. Step 3: Cross multiply
    7,424.73x = 11,138.67 × 3,042.18
  4. Step 4: Simplify right side
    7,424.73x = 33,885,839.10
  5. Step 5: Solve for x
    x = 33,885,839.10/7,424.73
  6. Step 6: Final answer
    x = 4,563.92

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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.