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Finding the Fourth Proportional to 11,687.85, 17,533.50 and 4,668

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Solution

The fourth proportional to 11,687.85, 17,533.50 and 4,668 is: 7,002.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,687.85 : 17,533.50 = 4,668 : x
  2. Step 2: Convert to fraction form
    11,687.85/17,533.50 = 4,668/x
  3. Step 3: Cross multiply
    11,687.85x = 17,533.50 × 4,668
  4. Step 4: Simplify right side
    11,687.85x = 81,846,378
  5. Step 5: Solve for x
    x = 81,846,378/11,687.85
  6. Step 6: Final answer
    x = 7,002.69

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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.