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Finding the Fourth Proportional to 11,496.42, 17,235.86 and 5,946.26

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Solution

The fourth proportional to 11,496.42, 17,235.86 and 5,946.26 is: 8,914.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,496.42 : 17,235.86 = 5,946.26 : x
  2. Step 2: Convert to fraction form
    11,496.42/17,235.86 = 5,946.26/x
  3. Step 3: Cross multiply
    11,496.42x = 17,235.86 × 5,946.26
  4. Step 4: Simplify right side
    11,496.42x = 102,488,788.97
  5. Step 5: Solve for x
    x = 102,488,788.97/11,496.42
  6. Step 6: Final answer
    x = 8,914.84

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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.