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Finding the Fourth Proportional to 7,654.37, 11,478.09 and 2,724.14

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Solution

The fourth proportional to 7,654.37, 11,478.09 and 2,724.14 is: 4,084.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,654.37 : 11,478.09 = 2,724.14 : x
  2. Step 2: Convert to fraction form
    7,654.37/11,478.09 = 2,724.14/x
  3. Step 3: Cross multiply
    7,654.37x = 11,478.09 × 2,724.14
  4. Step 4: Simplify right side
    7,654.37x = 31,267,853.08
  5. Step 5: Solve for x
    x = 31,267,853.08/7,654.37
  6. Step 6: Final answer
    x = 4,084.97

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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.