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Finding the Fourth Proportional to 11,530.28, 17,311.44 and 8,012

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Solution

The fourth proportional to 11,530.28, 17,311.44 and 8,012 is: 12,029.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,530.28 : 17,311.44 = 8,012 : x
  2. Step 2: Convert to fraction form
    11,530.28/17,311.44 = 8,012/x
  3. Step 3: Cross multiply
    11,530.28x = 17,311.44 × 8,012
  4. Step 4: Simplify right side
    11,530.28x = 138,699,257.28
  5. Step 5: Solve for x
    x = 138,699,257.28/11,530.28
  6. Step 6: Final answer
    x = 12,029.13

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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.