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Finding the Fourth Proportional to 11,554.50, 17,339.96 and 5,321.55

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Solution

The fourth proportional to 11,554.50, 17,339.96 and 5,321.55 is: 7,986.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,554.50 : 17,339.96 = 5,321.55 : x
  2. Step 2: Convert to fraction form
    11,554.50/17,339.96 = 5,321.55/x
  3. Step 3: Cross multiply
    11,554.50x = 17,339.96 × 5,321.55
  4. Step 4: Simplify right side
    11,554.50x = 92,275,464.14
  5. Step 5: Solve for x
    x = 92,275,464.14/11,554.50
  6. Step 6: Final answer
    x = 7,986.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.