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Finding the Fourth Proportional to 11,706.63, 17,559.94 and 3,498.63

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Solution

The fourth proportional to 11,706.63, 17,559.94 and 3,498.63 is: 5,247.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,706.63 : 17,559.94 = 3,498.63 : x
  2. Step 2: Convert to fraction form
    11,706.63/17,559.94 = 3,498.63/x
  3. Step 3: Cross multiply
    11,706.63x = 17,559.94 × 3,498.63
  4. Step 4: Simplify right side
    11,706.63x = 61,435,732.88
  5. Step 5: Solve for x
    x = 61,435,732.88/11,706.63
  6. Step 6: Final answer
    x = 5,247.94

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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.