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Finding the Fourth Proportional to 7,431.62, 11,149.97 and 4,654.98

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Solution

The fourth proportional to 7,431.62, 11,149.97 and 4,654.98 is: 6,984.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,431.62 : 11,149.97 = 4,654.98 : x
  2. Step 2: Convert to fraction form
    7,431.62/11,149.97 = 4,654.98/x
  3. Step 3: Cross multiply
    7,431.62x = 11,149.97 × 4,654.98
  4. Step 4: Simplify right side
    7,431.62x = 51,902,864.08
  5. Step 5: Solve for x
    x = 51,902,864.08/7,431.62
  6. Step 6: Final answer
    x = 6,984.06

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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.