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Finding the Fourth Proportional to 7,434.62, 11,142.21 and 3,046.94

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Solution

The fourth proportional to 7,434.62, 11,142.21 and 3,046.94 is: 4,566.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,434.62 : 11,142.21 = 3,046.94 : x
  2. Step 2: Convert to fraction form
    7,434.62/11,142.21 = 3,046.94/x
  3. Step 3: Cross multiply
    7,434.62x = 11,142.21 × 3,046.94
  4. Step 4: Simplify right side
    7,434.62x = 33,949,645.34
  5. Step 5: Solve for x
    x = 33,949,645.34/7,434.62
  6. Step 6: Final answer
    x = 4,566.43

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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.