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Finding the Fourth Proportional to 11,911.96, 17,855.34 and 4,006.94

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Solution

The fourth proportional to 11,911.96, 17,855.34 and 4,006.94 is: 6,006.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,911.96 : 17,855.34 = 4,006.94 : x
  2. Step 2: Convert to fraction form
    11,911.96/17,855.34 = 4,006.94/x
  3. Step 3: Cross multiply
    11,911.96x = 17,855.34 × 4,006.94
  4. Step 4: Simplify right side
    11,911.96x = 71,545,276.06
  5. Step 5: Solve for x
    x = 71,545,276.06/11,911.96
  6. Step 6: Final answer
    x = 6,006.17

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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.