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Finding the Fourth Proportional to 11,907.46, 17,846.61 and 4,107.16

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Solution

The fourth proportional to 11,907.46, 17,846.61 and 4,107.16 is: 6,155.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,907.46 : 17,846.61 = 4,107.16 : x
  2. Step 2: Convert to fraction form
    11,907.46/17,846.61 = 4,107.16/x
  3. Step 3: Cross multiply
    11,907.46x = 17,846.61 × 4,107.16
  4. Step 4: Simplify right side
    11,907.46x = 73,298,882.73
  5. Step 5: Solve for x
    x = 73,298,882.73/11,907.46
  6. Step 6: Final answer
    x = 6,155.71

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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.