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Finding the Fourth Proportional to 11,904.42, 17,857.82 and 4,409.99

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Solution

The fourth proportional to 11,904.42, 17,857.82 and 4,409.99 is: 6,615.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,904.42 : 17,857.82 = 4,409.99 : x
  2. Step 2: Convert to fraction form
    11,904.42/17,857.82 = 4,409.99/x
  3. Step 3: Cross multiply
    11,904.42x = 17,857.82 × 4,409.99
  4. Step 4: Simplify right side
    11,904.42x = 78,752,696.28
  5. Step 5: Solve for x
    x = 78,752,696.28/11,904.42
  6. Step 6: Final answer
    x = 6,615.42

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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.