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Finding the Fourth Proportional to 11,897.92, 17,847.42 and 4,107.88

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Solution

The fourth proportional to 11,897.92, 17,847.42 and 4,107.88 is: 6,162.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,897.92 : 17,847.42 = 4,107.88 : x
  2. Step 2: Convert to fraction form
    11,897.92/17,847.42 = 4,107.88/x
  3. Step 3: Cross multiply
    11,897.92x = 17,847.42 × 4,107.88
  4. Step 4: Simplify right side
    11,897.92x = 73,315,059.67
  5. Step 5: Solve for x
    x = 73,315,059.67/11,897.92
  6. Step 6: Final answer
    x = 6,162.01

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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.