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Finding the Fourth Proportional to 11,706.93, 17,558.64 and 3,274.11

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Solution

The fourth proportional to 11,706.93, 17,558.64 and 3,274.11 is: 4,910.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,706.93 : 17,558.64 = 3,274.11 : x
  2. Step 2: Convert to fraction form
    11,706.93/17,558.64 = 3,274.11/x
  3. Step 3: Cross multiply
    11,706.93x = 17,558.64 × 3,274.11
  4. Step 4: Simplify right side
    11,706.93x = 57,488,918.81
  5. Step 5: Solve for x
    x = 57,488,918.81/11,706.93
  6. Step 6: Final answer
    x = 4,910.67

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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.