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Finding the Fourth Proportional to 11,907.96, 17,861.94 and 4,116.84

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Solution

The fourth proportional to 11,907.96, 17,861.94 and 4,116.84 is: 6,175.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,907.96 : 17,861.94 = 4,116.84 : x
  2. Step 2: Convert to fraction form
    11,907.96/17,861.94 = 4,116.84/x
  3. Step 3: Cross multiply
    11,907.96x = 17,861.94 × 4,116.84
  4. Step 4: Simplify right side
    11,907.96x = 73,534,749.07
  5. Step 5: Solve for x
    x = 73,534,749.07/11,907.96
  6. Step 6: Final answer
    x = 6,175.26

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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.