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Finding the Fourth Proportional to 7,694.73, 11,537.47 and 3,009.15

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Solution

The fourth proportional to 7,694.73, 11,537.47 and 3,009.15 is: 4,511.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,694.73 : 11,537.47 = 3,009.15 : x
  2. Step 2: Convert to fraction form
    7,694.73/11,537.47 = 3,009.15/x
  3. Step 3: Cross multiply
    7,694.73x = 11,537.47 × 3,009.15
  4. Step 4: Simplify right side
    7,694.73x = 34,717,977.85
  5. Step 5: Solve for x
    x = 34,717,977.85/7,694.73
  6. Step 6: Final answer
    x = 4,511.92

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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.